Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight

DOI10.11650/tjm/190404zbMath1428.35065OpenAlexW2941516988MaRDI QIDQ2332979

Nguyen Thanh Chung

Publication date: 6 November 2019

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1555984822

zbMATH Keywords

variational methodsindefinite weightvariable exponentfractional Sobolev spacefractional \(p(xy)\)-Laplacian problems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Continuation and prolongation of solutions to PDEs (35B60) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (10)

A fractional \(p(x,\cdot)\)-Laplacian problem involving a singular term ⋮ Existence and multiplicity of solutions for Schrödinger-Kirchhoff type problems involving the fractional \(p(\cdot) \)-Laplacian in \(\mathbb{R}^N\) ⋮ Existence results for a Kirchhoff-type equations involving the fractional \(p_1(x)\) \& \(p_2(x)\)-Laplace operator ⋮ On the variable exponential fractional Sobolev space \(W^{s(\cdot),p(\cdot)}\) ⋮ Embedding theorems for variable exponent fractional Sobolev spaces and an application ⋮ Infinitely many solutions for Schrödinger-Kirchhoff-type equations involving the fractional \(p(x, \cdot )\)-Laplacian ⋮ Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\) ⋮ Existence of solutions for a class of fractional Kirchhoff-type systems in \(\mathbb{R}^N\) with non-standard growth ⋮ On the variable-order fractional Laplacian equation with variable growth on \(\mathbb{R}^N\) ⋮ Remarks on eigenvalue problems for fractional p ( · )-Laplacian

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