Solutions of semilinear differential equations related to harmonic functions

DOI10.1006/jfan.1999.3515zbMath0942.35076OpenAlexW2086400494MaRDI QIDQ1968738

E. B. Dynkin

Publication date: 23 August 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3515

zbMATH Keywords

positive solutionselliptic equationsparabolic equationsone-to-one correspondence

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

Related Items (5)

Positive solution to a nonlinear elliptic problem ⋮ Positive solutions to singular semilinear elliptic problems ⋮ A probabilistic approach to the equation \(Lu=-u^2\) ⋮ Nonnegative entire bounded solutions to some semilinear equations involving the fractional Laplacian ⋮ Unnamed Item

Cites Work

• Isolated singularities in semilinear problems
• Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions
• Removable singularities for \(Lu=\Psi(u)\) and Orlicz capacities
• Unnamed Item

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