Existence and multiplicity results for the fractional p-Laplacian equation with Hardy-Sobolev exponents

DOI10.7153/DEA-2018-10-06zbMath1391.35399OpenAlexW2790912763WikidataQ115157975 ScholiaQ115157975MaRDI QIDQ4565221

Gaixia Ning, Zhiyong Wang, Ji Hui Zhang

Publication date: 8 June 2018

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2018-10-06

zbMATH Keywords

Brezis-Nirenberg problemfractional \(p\)-Laplacianfractional Hardy-Sobolev exponents

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Multiple solutions for the fractional \(p\)-Laplacian equation with Hardy-Sobolev exponents ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• The second eigenvalue of the fractional \(p\)-Laplacian
• Fractional Laplacian: Pohozaev identity and nonexistence results
• Existence of weak solutions for non-local fractional problems via Morse theory
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• Global Hölder regularity for the fractional \(p\)-Laplacian
• A critical fractional Laplace equation in the resonant case
• \(p\)-Laplacian problems involving critical Hardy-Sobolev exponents
• A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Quasilinear Dirichlet problems in \(\mathbb R^N\) with critical growth.
• Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Fractional equations with bounded primitive
• Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• The Yamabe equation in a non-local setting
• N-Laplacian problems with critical Trudinger-Moser nonlinearities
• Weyl-type laws for fractional p-eigenvalue problems
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of positive solutions for m-Laplacian equations in N involving critical Sobolev exponents
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• Asymptotics for optimizers of the fractional Hardy–Sobolev inequality
• Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
• Fractional p-eigenvalues
• Classification of solutions for an integral equation
• The Brezis-Nirenberg result for the fractional Laplacian

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