Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent

Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent

We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution.

Bibliographic Details
Main Authors: Ouaro Stanislas, Ouedraogo Arouna, Soma Safimba
Format: Article
Language:English
Published: De Gruyter 2014-11-01
Series:Advances in Nonlinear Analysis
Subjects:
robin boundary condition
diffuse measure
biting lemma of chacon
maximal monotone graph
radon measure data
weak solution
entropic solution
leray–lions operator
subdifferential operator
35k55
35d05
Online Access:https://doi.org/10.1515/anona-2014-0010
Description
Summary:We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(·)-capacity. We prove an existence and uniqueness result of a weak solution.
ISSN:2191-9496
2191-950X

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