Capacitary estimates of positive solutions of semilinear elliptic equations with absorption

DOI10.4171/JEMS/18zbMath1210.35112MaRDI QIDQ1766233

Laurent Véron, Morel M. Marcus

Publication date: 28 February 2005

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Bessel capacities, maximal solutions, rate of blow-up

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Semilinear elliptic equations (35J61)

Related Items (15)

Complete classification of the positive solutions of \(-\Delta u+u^q\) ⋮ The precise boundary trace of solutions of a class of supercritical nonlinear equations ⋮ Capacitary estimates of solutions of semilinear parabolic equations ⋮ Maximal solutions of the equation \(\Delta u=u^{q}\) in arbitrary domains ⋮ Positive solutions of Schrödinger equations and fine regularity of boundary points ⋮ Boundary value problems with measures for elliptic equations with singular potentials ⋮ A class of boundary traces for solutions of the equation \(Lu=\psi (u)\) ⋮ On a class of semilinear fractional elliptic equations involving outside Dirac data ⋮ Moderate solutions of semilinear elliptic equations with Hardy potential ⋮ Complete Classification of the Positive Solutions of Heat Equation with Super Critical Absorption ⋮ Capacitary representation of positive solutions of semilinear parabolic equations ⋮ A new inequality for superdiffusions and its applications to nonlinear differential equations ⋮ Maximal solutions for \(-\Delta u+u^q=0\) in open and finely open sets ⋮ Nonlinear elliptic equations with measure valued absorption potentials ⋮ Semilinear elliptic equations with subcritical absorption in Lipschitz domains

Cites Work

• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• Boundary singularities of solutions of some nonlinear elliptic equations
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• Capacitary estimates of solutions of a class of nonlinear elliptic equations.
• Wiener regularity for large solutions of nonlinear equations
• Poisson capacities
• Removable singularities and boundary traces.
• Absolute continuity results for superdiffusions with applications to differential equations
• The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
• Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation
• A new inequality for superdiffusions and its applications to nonlinear differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Capacitary estimates of positive solutions of semilinear elliptic equations with absorption