Fractional Kirchhoff equation with critical exponential nonlinearity

DOI10.1080/17476933.2016.1167200zbMath1344.35164OpenAlexW2331587837MaRDI QIDQ5739369

Pawan Kumar Mishra, Jacques Giacomoni, Konijeti Sreenadh

Publication date: 15 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1167200

zbMATH Keywords

exponential growthfractional LaplacianKirchhoff-type problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11)

Related Items (4)

Polyharmonic Kirchhoff-type problem without Ambrosetti–Rabinowitz condition ⋮ Positive solutions of fractional elliptic equation with critical and singular nonlinearity ⋮ Kirchhoff equations with Choquard exponential type nonlinearity involving the fractional Laplacian ⋮ On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity

Cites Work

• \(n\)-Kirchhoff type equations with exponential nonlinearities
• Existence and multiplicity results for fractional \(p\)-Kirchhoff equation with sign changing nonlinearities
• Ground state solution for a Kirchhoff problem with exponential critical growth
• Fractional Adams-Moser-Trudinger type inequalities
• Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
• Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
• Nonautonomous fractional problems with exponential growth
• A global multiplicity result for \(N\)-Laplacian with critical nonlinearity of concave-convex type
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Higher nonlocal problems with bounded potential
• \(1/2\)-Laplacian problems with exponential nonlinearity
• A critical Kirchhoff type problem involving a nonlocal operator
• On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
• Variational Methods for Nonlocal Fractional Problems
• An Extension Problem Related to the Fractional Laplacian

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