Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces

DOI10.1007/s43036-021-00166-xzbMath1481.35206OpenAlexW3212760985MaRDI QIDQ2062307

Lalla Saadia Chadli, H. Moussa, H. El-Houari

Publication date: 27 December 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00166-x

zbMATH Keywords

existencevariational methodsSchrödinger systemfractional \(m(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)

Related Items (3)

On a class of Schrödinger system problem in Orlicz-Sobolev spaces ⋮ Multiplicity of solutions for nonlocal parametric elliptic systems in fractional Orlicz-Sobolev spaces ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces

Cites Work

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• On the isometries of certain function-spaces
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Variational problems with free boundaries for the fractional Laplacian
• On the existence of standing wave solutions for a class of quasilinear Schrödinger systems
• Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem
• Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
• On a class of nonvariational problems in fractional Orlicz-Sobolev spaces
• Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems
• On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities
• Fractional order Orlicz-Sobolev spaces
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Fractional Orlicz-Sobolev embeddings
• Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:math>-Laplacian
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• An Extension Problem Related to the Fractional Laplacian
• Function Spaces

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