Boundary singularities on a wedge-like domain of a semilinear elliptic equation

DOI10.1017/S0308210515000207zbMath1341.35062arXiv1703.08793OpenAlexW2191432906MaRDI QIDQ3456293

Konstantinos T. Gkikas

Publication date: 11 December 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08793

zbMATH Keywords

critical exponentsvery weak solutionprescribed boundary singularitieswedge-like domains

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (1)

Singular solutions of elliptic equations on a perturbed cone

Cites Work

• Unnamed Item
• Boundary singularities of positive solutions of some nonlinear elliptic equations
• A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains
• Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners
• Existence and convergence of positive weak solutions of \(-\Delta u=u^{n\over {n-2}}\) in bounded domains of \(\mathbb{R}^ n\), \(n\geq 3\)
• Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations
• Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces
• Boundary singularities for weak solutions of semilinear elliptic problems
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On a class of superlinear elliptic problems

This page was built for publication: Boundary singularities on a wedge-like domain of a semilinear elliptic equation