The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption

DOI10.1002/cpa.3037zbMath1121.35314OpenAlexW2128661649MaRDI QIDQ4425977

Laurent Véron, Morel M. Marcus

Publication date: 15 September 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3037

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

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Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• The degenerate logistic model and a singularly mixed boundary blow-up problem
• 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
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• Removable singularities and boundary traces.
• The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
• 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

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