Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet
From MaRDI portal
Publication:2225251
DOI10.1016/j.jfa.2020.108845zbMath1458.35070arXiv2004.04579OpenAlexW3100165846MaRDI QIDQ2225251
Hardy Chan, David Gómez-Castro, Juan Luis Vazquez
Publication date: 5 February 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04579
Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Weak solutions to PDEs (35D30) Eigenvalue problems for integral equations (45C05) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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Global Schauder theory for minimizers of the \(H^s(\Omega)\) energy ⋮ Existence and multiplicity results for nonlocal Lane-Emden systems ⋮ Semilinear nonlocal elliptic equations with source term and measure data ⋮ Resolvents for fractional-order operators with nonhomogeneous local boundary conditions ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian ⋮ Singular solutions for fractional parabolic boundary value problems
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