Maximum principles related to the second derivatives of solutions of elliptic equations in the plane

DOI10.1080/00036818908839844zbMath0654.35030OpenAlexW2092696895MaRDI QIDQ3800424

Carlo Pucci, Paolo Manselli

Publication date: 1989

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818908839844

zbMATH Keywords

open mapsecond derivativeselliptic equations in the planemaximum properties

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Cites Work

• Unnamed Item
• Convexity of solutions of semilinear elliptic equations
• Solution of Dirichlet's problem for the equation \(\Delta u = -1\) in a convex region
• On Spherical Image Maps Whose Jacobians Do Not Change Sign

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