On the definition of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\)

DOI10.1016/j.na.2018.04.023zbMath1408.35026OpenAlexW2809375726MaRDI QIDQ1627425

Daniela Giachetti, François Murat, Pedro J. Martínez-Aparicio

Publication date: 22 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.na.2018.04.023

zbMATH Keywords

semilinear elliptic problemsstrong maximum principlesingularity at \(u = 0\)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75)

Related Items (5)

Semilinear problems with right-hand sides singular at \(u=0\) which change sign ⋮ Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Existence of solutions to semilinear elliptic equations with variable exponent singularity ⋮ Singular quasilinear elliptic problems with changing sign datum: existence and homogenization ⋮ A singular elliptic equation and a related functional

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• Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at u = 0
• Some properties of solutions of some semilinear elliptic singular problems and applications to the G-convergence

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