The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
ABSTRACT In this article, we use the topological degree based on the abstract Hammerstein equation to investigate the existence of weak solutions for a class of elliptic Dirichlet boundary value problems involving the fractional p(x)-Laplacian operator with discontinuous nonlinearities. The appropriate functional framework for this problems is the fractional Sobolev space with variable exponent.
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| Main Authors: | , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2022
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462022000100063 |
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