Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.

DOI10.1016/S1631-073X(02)02557-8zbMath1101.35319OpenAlexW2031248830MaRDI QIDQ1565872

Benoit Mselati

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02557-8

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (2)

On upper bounds for positive solutions of semilinear equations ⋮ Absolute continuity results for superdiffusions with applications to differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\)
• The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
• Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions
• Trace on the boundary for solutions of nonlinear differential equations
• A probabilistic Poisson representation for positive solutions of ?u = u2 in a planar domain
• Superdiffusions and removable singularities for quasilinear partial differential equations

This page was built for publication: Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.