Blow up boundary solutions of some semilinear fractional equations in the unit ball

DOI10.1016/j.na.2016.03.015zbMath1345.31015arXiv1511.02162OpenAlexW2963821447MaRDI QIDQ276734

Mohamed Ben Chrouda, Mahmoud Ben Fredj

Publication date: 4 May 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02162

zbMATH Keywords

fractional Laplacianfractional Dirichlet problem

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (7)

Blow up boundary solutions of some semilinear fractional equations in the unit ball ⋮ Entire large solutions of semilinear equations involving the fractional Laplacian ⋮ Fractional Schrödinger equation in bounded domains and applications ⋮ Semilinear Dirichlet problem for subordinate spectral Laplacian ⋮ Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet ⋮ Semilinear Dirichlet problem for the fractional Laplacian ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian

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