Eugenio Cabanillas Lapa, Victor Pardo Rivera, Jose Quique Broncano
Abstract:
In this article we obtain weak solutions for a class nonlinear
elliptic problems for the p(x)-Laplacian-like operators
under no-flux boundary conditions. Our result is obtained using a
Fredholm-type result for a couple of nonlinear operators,
and the theory of variable exponent Sobolev spaces.
Submitted May 18, 2015. Published August 21, 2015.
Math Subject Classifications: 35D05, 35J60, 35J70.
Key Words: p(x)-Laplacian; variable exponent Sobolev space; Fredholm alternative.
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Eugenio Cabanillas Lapa Instituto de Investigación Facultad de Ciencias Matemáticas UNMSM, Lima, Perú email: cleugenio@yahoo.com |
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Victor Pardo Rivera Instituto de Investigación Facultad de Ciencias Matemáticas UNMSM, Lima, Perú email: vpardor@gmail.com |
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Jose quique Broncano Instituto de Investigación Facultad de Ciencias Matemáticas UNMSM, Lima, Perú email: jquiqueb@unmsm.edu.pe |
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