Existence and multiplicity of solutions for fractional p 1 ( x , ⋅ ) & p 2 ( x , ⋅ ) $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$ -Laplacian Schrödinger-type equations with Robin boundary conditions

Existence and multiplicity of solutions for fractional p 1 ( x , ⋅ ) & p 2 ( x , ⋅ ) $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$ -Laplacian Schrödinger-type equations with Robin boundary conditions

Abstract In this paper, we study fractional p 1 ( x , ⋅ ) & p 2 ( x , ⋅ ) $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$ -Laplacian Schrödinger-type equations for Robin boundary conditions. Under some suitable assumptions, we show that two solutions exist using the mountain pass lemma and Ekeland’s var...

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Bibliographic Details
Main Authors: Zhenfeng Zhang, Tianqing An, Weichun Bu, Shuai Li
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Boundary Value Problems
Subjects:
Schrödinger equations
p 1 ( x , ⋅ ) & p 2 ( x , ⋅ ) $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$ -Laplacian
Robin boundary conditions
Concave-convex nonlinearities
Krasnoselskii genus theory
Online Access:https://doi.org/10.1186/s13661-024-01844-4

Internet

https://doi.org/10.1186/s13661-024-01844-4

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