Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem

DOI10.1186/S13661-020-01446-WzbMath1487.35393OpenAlexW3085486011MaRDI QIDQ2126682

Yanyan Li

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01446-w

zbMATH Keywords

mountain pass theoremvariational methodsfractional eigenvalue problemsfractional Laplacian equations

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (15)

Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ A weak solution for a \((p(x),q(x))\)-Laplacian elliptic problem with a singular term ⋮ Existence of radial solutions for a weighted \(p\)-biharmonic problem with Navier boundary condition on the Heisenberg group ⋮ A nonlinear fractional Rayleigh-Stokes equation under nonlocal integral conditions ⋮ Solutions of a \((p, q)\)-Laplacian equation involving a super-linear and a singular terms ⋮ Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential ⋮ Existence of infinitely many solutions for an anisotropic equation using genus theory ⋮ A system of high-order fractional differential equations with integral boundary conditions ⋮ A positive solution for an anisotropic \((p,q)\)-Laplacian ⋮ Weak solutions for some fractional singular \((p, q)\)-Laplacian nonlocal problems with Hardy potential ⋮ Existence results to a Leray-Lions type problem on the Heisenberg Lie groups ⋮ Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain ⋮ Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition ⋮ Three Weak Solutions for a Class of $$\boldsymbol{p(x)}$$-Kirchhoff Type Biharmonic Problems ⋮ Existence and multiplicity of weak solutions for singular fourth-order elliptic systems

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