Existence of three solutions for a quasilinear elliptic equation involving the $p(x)$--Laplace operator
DOI:
https://doi.org/10.5644/SJM.10.2.04Keywords:
Variable exponent Lebesgue and Sobolev spaces $p(x)$-Laplacian, Neumann problem, variational approach, three solutionsAbstract
In this paper, some existence results are obtained by using a three critical point theorem based on variational principle. In that context, we verify that a quasilinear elliptic equation involving the $p(x)$-Laplace operator has at least three weak solutions under Neumann boundary condition.
2010 Mathematics Subject Classification. 35J60, 35B30, 35B40
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References
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