Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces

V. Gol’dshtein; D. Motreanu; V. V. Motreanu

doi:10.1080/17476933.2014.936863

Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces

V. Gol’dshtein, D. Motreanu, V. V. Motreanu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The paper presents existence and multiplicity results for non-linear boundary value problems on possibly non-smooth and unbounded domains under possibly non-homogeneous Dirichlet boundary conditions. We develop here an appropriate functional setting based on weighted Sobolev spaces. Our results are obtained by using global minimization and a minimax approach using a non-smooth critical point theory.

Original language	English
Pages (from-to)	372-391
Number of pages	20
Journal	Complex Variables and Elliptic Equations
Volume	60
Issue number	3
DOIs	https://doi.org/10.1080/17476933.2014.936863
State	Published - 4 Mar 2015

Keywords

global optimization
minimax principle
non-homogeneous Dirichlet boundary conditions
non-linear elliptic problem
weighted Sobolev spaces

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2014.936863

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title = "Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces",

abstract = "The paper presents existence and multiplicity results for non-linear boundary value problems on possibly non-smooth and unbounded domains under possibly non-homogeneous Dirichlet boundary conditions. We develop here an appropriate functional setting based on weighted Sobolev spaces. Our results are obtained by using global minimization and a minimax approach using a non-smooth critical point theory.",

keywords = "global optimization, minimax principle, non-homogeneous Dirichlet boundary conditions, non-linear elliptic problem, weighted Sobolev spaces",

author = "V. Gol{\textquoteright}dshtein and D. Motreanu and Motreanu, {V. V.}",

note = "Funding Information: The third author is supported by a Marie Curie Intra-European Fellowship for Career Development within the European Community{\textquoteright}s 7th Framework Program [grant agreement number PIEF-GA-2010-274519]. Publisher Copyright: {\textcopyright} 2014 Taylor & Francis.",

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AU - Gol’dshtein, V.

AU - Motreanu, D.

AU - Motreanu, V. V.

N1 - Funding Information: The third author is supported by a Marie Curie Intra-European Fellowship for Career Development within the European Community’s 7th Framework Program [grant agreement number PIEF-GA-2010-274519]. Publisher Copyright: © 2014 Taylor & Francis.

PY - 2015/3/4

Y1 - 2015/3/4

N2 - The paper presents existence and multiplicity results for non-linear boundary value problems on possibly non-smooth and unbounded domains under possibly non-homogeneous Dirichlet boundary conditions. We develop here an appropriate functional setting based on weighted Sobolev spaces. Our results are obtained by using global minimization and a minimax approach using a non-smooth critical point theory.

AB - The paper presents existence and multiplicity results for non-linear boundary value problems on possibly non-smooth and unbounded domains under possibly non-homogeneous Dirichlet boundary conditions. We develop here an appropriate functional setting based on weighted Sobolev spaces. Our results are obtained by using global minimization and a minimax approach using a non-smooth critical point theory.

KW - global optimization

KW - minimax principle

KW - non-homogeneous Dirichlet boundary conditions

KW - non-linear elliptic problem

KW - weighted Sobolev spaces

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DO - 10.1080/17476933.2014.936863

M3 - Article

AN - SCOPUS:84937251774

SN - 1747-6933

VL - 60

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JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 3

ER -

Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces

Abstract

Keywords

ASJC Scopus subject areas

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