Fractional \(p\)-Kirchhoff system with sign changing nonlinearities

DOI10.1007/s13398-016-0294-2zbMath1357.35286OpenAlexW2308159541MaRDI QIDQ506283

Pawan Kumar Mishra, Konijeti Sreenadh

Publication date: 31 January 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0294-2

zbMATH Keywords

critical exponent problemKirchhoff type problemfractional \(p\)-Laplacian system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Fractional partial differential equations (35R11)

Related Items (15)

Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators ⋮ On \(p(z)\)-Laplacian system involving critical nonlinearities ⋮ \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities ⋮ Critical fractional \(p\)-Laplacian system with negative exponents ⋮ Infinitely many solutions for a superlinear fractional \(p\)-Kirchhoff-type problem without the (AR) condition ⋮ Existence of positive solutions to a fractional-Kirchhoff system ⋮ Regularity and multiplicity results for fractional (p,q)-Laplacian equations ⋮ Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities ⋮ The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities ⋮ Twin positive solutions for Schrödinger-Kirchhoff-type problem with singularity and critical exponents ⋮ A class of variable-order fractional \(p(\cdot)\)-Kirchhoff-type systems ⋮ Existence and Hölder regularity of infinitely many solutions to a \(p\)-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition ⋮ Nehari manifold for fractional Kirchhoff systems with critical nonlinearity ⋮ Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity

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