Boundary trace of positive solutions of supercritical semilinear elliptic equations in dihedral domains

DOI10.2422/2036-2145.201310_011zbMath1342.35156arXiv1309.7778OpenAlexW2233415363MaRDI QIDQ2807108

Laurent Véron, Morel M. Marcus

Publication date: 19 May 2016

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7778

zbMATH Keywords

positive solutionsBesov spacessemilinear elliptic equationBorel measureboundary tracesupercriticalBessel capacityPoisson potentialdihedral domainharmonic lifting

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms of special functions (44A20) Potentials and capacities on other spaces (31C15) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (7)

On the asymptotics near the piecewise smooth boundary of singular solutions of semilinear elliptic equations ⋮ Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities ⋮ Schrödinger operators with Leray-Hardy potential singular on the boundary ⋮ Boundary singularities of semilinear elliptic equations with Leray-Hardy potential ⋮ Semilinear elliptic Schrödinger equations with singular potentials and absorption terms ⋮ Measure boundary value problems for semilinear elliptic equations with critical Hardy potentials ⋮ Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials

This page was built for publication: Boundary trace of positive solutions of supercritical semilinear elliptic equations in dihedral domains