Sufficient conditions for the concavity of the solution of the Dirichlet problem for the equation \(\Delta u=-1\)

DOI10.1007/BF01138313zbMath0662.35020MaRDI QIDQ1113358

A. A. jun. Kosmodem'yanskij

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

ellipsecircleconcavityestimatesPoisson equationconvex domain

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

On concavity of solutions of the nonlinear Poisson equation

Cites Work

• Isoperimetric Inequalities in the Torsion and Clamped Membrane Problems for Convex Plane Domains

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