Last edited by Baktilar
Saturday, July 25, 2020 | History

5 edition of Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems (Series in Mathematical Analysis and Applications, V. 8.) found in the catalog.

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems (Series in Mathematical Analysis and Applications, V. 8.)

by Leszek Gasinski

  • 380 Want to read
  • 8 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Differential equations,
  • Nonlinear boundary value probl,
  • Critical point theory (Mathema,
  • Mathematics,
  • Science/Mathematics,
  • Nonlinear boundary value problems,
  • Algebra - General,
  • Mathematics / Functional Analysis,
  • Advanced,
  • Critical point theory (Mathematical analysis)

  • The Physical Object
    FormatHardcover
    Number of Pages792
    ID Numbers
    Open LibraryOL8795436M
    ISBN 101584884851
    ISBN 109781584884859

    Then we prove two multiplicity results for positive solutions. The first concerns the "superlinear problem" and the second is for the sublinear problem. The method of proof is variational based on the nonsmooth critical point theory for locally Lipschitz functions. Our results complement the ones obtained by De Coster ( ()). A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$} Gazzola, Filippo and Rădulescu, Vicenţiu, Differential and Integral Equations, Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations An, Yu-Cheng and Suo, Hong-Min, Abstract and Applied Analysis, ; Existence theorems for elliptic .

    2 Implicit Function Theorem and Applications to Boundary Value Problems 17 Nonlinear Analysis is one of the fields of Mathematics with the most spectacular development in the locally Lipschitz functional (see Clarke [26], [27]). Then we develop a nonsmooth critical point theory which enables us to deduce the Brezis-Coron-Nirenberg. CRITICAL POINT THEORY FOR NONSMOOTH ENERGY FUNCTIONALS AND APPLICATIONS N. HALIDIAS some existence results for Neumann prob-lems with discontinuities. 1. Introduction In this paper we consider elliptic problems with multivalued nonlinear boundary A number c∈ R is said critical value if R−1(c) contains a critical point.

    F. Jiao and Y. Zhou, “Existence of solutions for a class of fractional boundary value problems via critical point theory,” Computers & Mathematics with Applications, vol. 62, no. 3, pp. –, Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems. By L Gasi'nski and N Papageorgiou. Topics: Nonlinear Boundary Value Problem, nonsmooth critical point theory. Year: OAI identifier: oai: Provided by: DSpace at NTUA. Download PDF.


Share this book
You might also like
ABC of Naga culture & civilization

ABC of Naga culture & civilization

Western Wall (Holy Places)

Western Wall (Holy Places)

digest of the law of agency.

digest of the law of agency.

Yanantin and masintin in the Andean world

Yanantin and masintin in the Andean world

2005 26 Cfr 2-29 (IRS)

2005 26 Cfr 2-29 (IRS)

The pathvvay to prayer and pietie

The pathvvay to prayer and pietie

upper Paleocene-lower Eocene of the upper Nile valley.

upper Paleocene-lower Eocene of the upper Nile valley.

Then there was one

Then there was one

accessory sinuses of the nose and their relations to neighbouring parts

accessory sinuses of the nose and their relations to neighbouring parts

registers of the Abbey Church of SS. Peter and Paul, Bath

registers of the Abbey Church of SS. Peter and Paul, Bath

Franciscans at Rossnowlagh

Franciscans at Rossnowlagh

Catalogue of the Goldsmiths Library of Economic Literature

Catalogue of the Goldsmiths Library of Economic Literature

European Community competition policy

European Community competition policy

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems (Series in Mathematical Analysis and Applications, V. 8.) by Leszek Gasinski Download PDF EPUB FB2

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems (Mathematical Analysis and Applications Book 8) - Kindle edition by Gasinski, Leszek, Papageorgiou, Nikolaos S. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Nonsmooth Critical Point Theory and Nonlinear Boundary Value Author: Leszek Gasinski, Nikolaos S.

Papageorgiou. Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators.

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in. Get this from a library.

Nonsmooth critical point theory and nonlinear boundary value problems. [Leszek Gasiński; Nikolaos Socrates Papageorgiou] -- "This book provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems.

The authors do not limit their treatment. 1st Edition Published on Octo by Chapman and Hall/CRC Starting in the early s, people using the tools of nonsmooth analysis developed some remar Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems.

Save on Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems by Leszek Gasinski / Nikolaos S. Papageorgiou. Shop your textbooks from Zookal AU today.

Starting in the early s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory.

Leszek Gasińksi is the Chair of Optimization and Control Theory in the Institute of Computer Science at Jagiellonian University in Krakow, Poland. He is the co-author, along with Nikolaos S. Papageorgiou, of "Nonlinear Analysis" (CRC ) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC ).

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems 作者: Leszek Gasinski / Nikolaos S. Papageorgiou 出版社: Chapman and Hall/CRC 出版年: 页数: 定价: USD 装帧: Hardcover ISBN: point theorem, problems at resonance, p-Laplacian, first eigenvalue.

Introduction The purpose of this paper is twofold. First, we want to extend the nonsmooth critical point theory of Chang [7], by replacing the compactness and the boundary conditions. Second, we want to study nonlinear elliptic problems at resonance and establish the.

These lectures are devoted to a generalized critical point theory for nonsmooth functionals and to existence of multiple solutions for quasilinear elliptic equations. If f is a continuous function defined on a metric space, we define the weak slope |df|(u), an extended notion of norm of the Fréchet derivative.

Generalized notions of critical. Our approach is variational and uses critical point theory and Morse theory (critical groups). Article information. Source Topol. Methods Nonlinear Anal Nikolaos S.; Staicu, Vasile. Existence and multiplicity of solutions for resonant nonlinear Neumann problems.

Topol. Methods Nonlinear Anal. 35 (), no. 2, https. Abstract. The present Chapter deals with critical point theory for three different nonsmooth situations. First, we set forth the critical point theory for locally Lipschitz functionals, following the approach of Chang [4] and Clarke [5].

Nonlinear Hemivariational Inequalities at Resonance Journal of Mathematical Analysis and Applications᎐ Ž doirjmaa, available online at http: on N. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of.

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work.

Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions.

Leszek Gasinski is the author of Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems ( avg rating, 0 ratings, 0 reviews, published 2. Critical points for nonsmooth energy functions Theorem allows us to consider also nonlinear problems at resonance. Assume the functionf(x.) above is positively p-homogeneous and define 21=min{Inf(x, Vu)dx:uEW~'P(~),fnlulPdx= 1]; it is easy to see that the minimum above is attained at some function el that we may call first.

Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory.

A general critical point theory for continuous functions defined on metric spaces has been recently developed. Nonsmooth critical point theory and applications to the spectral graph theory.

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems, () Periodic solutions of Lagrangian systems.

Our theory is applicable to the Lagrangian systems on compact manifolds and boundary value problems for a large class of nonlinear higher order elliptic equations. The Gromoll-Meyer's generalized Morse lemma (so called splitting lemma) near degenerate critical points on Hilbert spaces, which is one of key results in infinite dimensional Morse.L.

Gasiński and N. S. Papageorgiou, Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, vol. 8 of Series in Mathematical Analysis and Applications, Chapman & Hall/CRC, Boca Raton, Fla, USA, View at: MathSciNet.devoted their efforts to study this problem and related ones.

Their works established a well-developed theory of boundary value problems for linear differential equations, and gave rise to disciplines with the modern relevance of convex analysis, monotone operators theory, distribution theory, critical point theory, Sobolev spaces, etc.