Some eigenvalue problems involving the (p(x),q(x))-Laplacian

Juan Alcon Apaza

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arXiv · 2209.02682

Some eigenvalue problems involving the (p(x),q(x))-Laplacian

Juan Alcon Apaza

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Abstract

In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of solutions applying two versions of Mountain Pass theorem, Ekeland's variational principle and Lagrange multiplier rule.

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Juan Alcon Apaza. 2022-09-06. Some eigenvalue problems involving the (p(x),q(x))-Laplacian. https://arxiv.org/abs/2209.02682

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