Existence of a positive solution for a class of fractional elliptic problems in exterior domains involving critical growth

DOI10.1016/J.JMAA.2021.125543zbMath1475.35385OpenAlexW3188225682MaRDI QIDQ2236011

Claudionei P. Oliveira, Jeziel N. Correia

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125543

zbMATH Keywords

critical Sobolev exponentsexterior domainsfractional Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (3)

Positive solution for a class of Choquard equations with Hardy–Littlewood–Sobolev critical exponent in exterior domains ⋮ Existence and multiplicity results for a doubly nonlocal equation with critical growth ⋮ Normalized solutions of mass subcritical fractional Schrödinger equations in exterior domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
• Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• Hitchhiker's guide to the fractional Sobolev spaces
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• On a class of nonlinear Schrödinger equations
• Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth
• Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)
• A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow
• Minimax theorems
• Overdetermined problems for the fractional Laplacian in exterior and annular sets
• Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition
• Existence of positive solution for a fractional elliptic equation in exterior domain
• Existence of solutions for a class of fractional elliptic problems on exterior domains
• Fractional elliptic problem in exterior domains with nonlocal Neumann condition
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• From the long jump random walk to the fractional Laplacian
• Variational Methods for Nonlocal Fractional Problems
• Lévy Processes and Stochastic Calculus
• Financial Modelling with Jump Processes

This page was built for publication: Existence of a positive solution for a class of fractional elliptic problems in exterior domains involving critical growth