Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners

DOI10.1016/j.jmaa.2008.06.008zbMath1168.35013OpenAlexW1998606317MaRDI QIDQ1012203

J. Martínez

Publication date: 14 April 2009

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

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000010944

zbMATH Keywords

critical exponentsvery weak solutionsconical cornerssemilinear elliptic Dirichlet problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for second-order elliptic equations (35J20) Solutions to PDEs in closed form (35C05)

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Boundary singularities on a wedge-like domain of a semilinear elliptic equation ⋮ Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay ⋮ Singular solutions of elliptic equations on a perturbed cone ⋮ Regularity of very weak solutions for elliptic equation of divergence form ⋮ Mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems ⋮ REGULARITY OF VERY WEAK SOLUTIONS FOR NONHOMOGENEOUS ELLIPTIC EQUATION

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