Existence of weak solutions for elliptic Dirichlet problems with variable exponent

This paper presents several sufficient conditions for the existence of weak solutions to general nonlinear elliptic problems of the type \cases-{\rm div} a(x, u, \nn u)+b(x, u, \nn u)=0 &\text{in} \Omega, u=0 &\text{on} \partial\Omega, where $\Omega$ is a bounded domain of $\mathb...

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Bibliographic Details

Published in:	Mathematica Bohemica
Main Authors:	Sungchol Kim, Dukman Ri
Format:	Article
Language:	English
Published:	Institute of Mathematics of the Czech Academy of Science 2023-10-01
Subjects:	variable exponent existence variational methods dirichlet problem
Online Access:	http://mb.math.cas.cz/full/148/3/mb148_3_1.pdf