Existence of nonnegative solutions for a class of systems involving fractional \((p,q)\)-Laplacian operators

DOI10.1007/S11401-018-1069-1zbMath1391.35392OpenAlexW2791421822MaRDI QIDQ1754714

Yongqiang Fu, Houwang Li, Patrizia Pucci

Publication date: 31 May 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-1069-1

zbMATH Keywords

variational methodsNehari manifoldfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (14)

Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ A unique weak solution for a kind of coupled system of fractional Schrödinger equations ⋮ Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities ⋮ Combined effects of logarithmic and superlinear nonlinearities in fractional Laplacian systems ⋮ Critical Schrödinger-Hardy systems in the Heisenberg group ⋮ Existence and asymptotic behavior of ground states for Schrödinger systems with Hardy potential ⋮ On multiplicity solutions for a non-local fractional p-Laplace equation ⋮ Existence for fractional \((p,q)\) systems with critical and Hardy terms in \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ Existence of solutions for critical fractional p&q-Laplacian system ⋮ Existence and multiplicity of solutions for fractional Laplacian system ⋮ On fractional \((p, q)\)-Laplacian equations involving subcritical or critical Hardy exponents ⋮ Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal problems at nearly critical growth
• Local behavior of fractional \(p\)-minimizers
• Hitchhiker's guide to the fractional Sobolev spaces
• A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
• Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
• Multiple nonsemitrivial solutions for quasilinear elliptic systems
• On the discrete version of Picone's identity
• Weyl-type laws for fractional p-eigenvalue problems
• Fractional p-eigenvalues

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