Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order

DOI10.1080/17476933.2020.1835878zbMath1484.35401OpenAlexW3096049249MaRDI QIDQ5037862

Jiabin Zuo, Alessio Fiscella, Anouar Bahrouni

Publication date: 4 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1835878

zbMATH Keywords

variational methodsvariable exponentChoquard-type nonlinearity\(p (\cdot)\& q (\cdot)\) fractional Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for PDEs with pseudodifferential operators (35S15) Variational methods for second-order elliptic equations (35J20) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Integro-partial differential equations (35R09)

Related Items (10)

Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮ Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition ⋮ A class of \(p_1 (x, \cdot)\) \& \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\) ⋮ WEAK SOLUTION FOR NONLINEAR FRACTIONAL P(.)-LAPLACIAN PROBLEM WITH VARIABLE ORDER VIA ROTHE'S TIME-DISCRETIZATION METHOD ⋮ Variational formulation for nonlinear impulsive fractional differential equations with (p, q)‐Laplacian operator ⋮ Existence and multiplicity of solutions involving the \(p(x)\)-Laplacian equations: on the effect of two nonlocal terms ⋮ Existence of ground state solutions for a Choquard double phase problem ⋮ On critical double phase Choquard problems with singular nonlinearity ⋮ On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents

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