On upper bounds for positive solutions of semilinear equations

DOI10.1016/S0022-1236(03)00147-2zbMath1059.31009MaRDI QIDQ1876264

E. B. Dynkin

Publication date: 16 August 2004

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

zbMATH Keywords

diffusionssemilinear elliptic PDEsfine trace of a solutionsuper-diffusions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Diffusion processes (60J60) Potentials and capacities on other spaces (31C15)

Related Items (1)

A new inequality for superdiffusions and its applications to nonlinear differential equations

Cites Work

• Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.
• Absolute continuity results for superdiffusions with applications to differential equations
• Elliptic Partial Differential Equations of Second Order
• An upper bound for positive solutions of the equation Δ𝑢=𝑢^{𝛼}
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