Super-critical problems involving the fractional \(p\)-Laplacian

DOI10.11948/20220353MaRDI QIDQ6612492

Haibo Chen, Zijian Wu

Publication date: 30 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

variational principlefractional \(p\)-Laplaciansuper-critical

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Local elliptic regularity for the Dirichlet fractional Laplacian
• Existence and symmetry result for fractional \(p\)-Laplacian in \(\mathbb{R}^{n}\)
• Variational problems with free boundaries for the fractional Laplacian
• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Front propagation in reactive systems with anomalous diffusion
• Fractional quantum mechanics and Lévy path integrals
• Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties
• Nonexistence results for a class of fractional elliptic boundary value problems
• Existence for fractional \((p,q)\) systems with critical and Hardy terms in \(\mathbb{R}^N\)
• Positive solutions for a class of fractional \(p\)-Laplacian equation with critical Sobolev exponent and decaying potentials
• Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
• The Dirichlet problem for nonlocal operators
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• Fractional eigenvalues
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Fractional elliptic systems with critical nonlinearities
• Fractional p-eigenvalues
• Ground states and concentration phenomena for the fractional Schrödinger equation
• $\Gamma$-Limit of a Phase-Field Model of Dislocations

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