Profile of solutions for nonlocal equations with critical and supercritical nonlinearities

DOI10.1142/S0219199717500997zbMath1406.35459arXiv1612.01759OpenAlexW2741370777MaRDI QIDQ4622592

Sanjiban Santra, Mousomi Bhakta, Debangana Mukherjee

Publication date: 13 February 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01759

zbMATH Keywords

uniquenessblow-upentire solutionfractional Laplaciansuper-critical exponent

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Heat kernel (35K08)

Related Items (6)

On singular equations with critical and supercritical exponents ⋮ The Neumann problem for a class of semilinear fractional equations with critical exponent ⋮ Fractional Hardy equations with critical and supercritical exponents ⋮ Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions ⋮ Local versus nonlocal elliptic equations: short-long range field interactions ⋮ Effect of the domain geometry on the solutions to fractional Brezis-Nirenberg problem

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