Mean value theorems for functions satisfying the inequality \(\Delta u +Ke^u \geq 0\)

DOI10.1007/BF00275994zbMath0257.35039MaRDI QIDQ2559616

Catherine Bandle

Publication date: 1973

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35)

Related Items (4)

A Mean Field Equation on a Torus: One-Dimensional Symmetry of Solutions ⋮ Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems ⋮ Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems ⋮ A priori estimates and uniqueness for some mean field equations

Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• Extensions of an inequality by Pólya and Schiffer for vibrating membranes
• Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie
• Le problème des isoperimetres sur les surfaces ouvertes à courbure positive
• Isoperimetrische Ungleichungen für Bereiche auf Flächen
• Convexity of functionals by transplantation
• Some problems in the theory of quasilinear equations
• Geodesic Parallel Coordinates in the Large
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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