Maximum principles and nonlinear elliptic problems

DOI10.1007/BF02791067zbMath0422.35013OpenAlexW1971663011MaRDI QIDQ1133672

Rene P. Sperb

Publication date: 1979

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791067

zbMATH Keywords

Laplace-Beltrami operatorfirst eigenvalueRiemannian spaceuniformly elliptic operator

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (8)

Minimum domains for spatial patterns in a class of reaction diffusion equations ⋮ Growth estimates in diffusion-reaction problems ⋮ Isoperimetric inequalities in a boundary value problem on a Riemannian manifold ⋮ On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator ⋮ On an eigenvalue problem arising in chemistry ⋮ Some Maximum Principles in Semilinear Elliptic Equations ⋮ Nonlinear diffusion-reaction problems with time-dependent diffusion coefficient ⋮ Gradient bounds for weakly coupled nonlinear elliptic systems

Cites Work

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• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On Hopf type maximum principles for convex domains
• Maximum Principles and Bounds in Some Inhomogeneous Elliptic Boundary Value Problems
• Some Applications of the Maximum Principle in the Problem of Torsional Creep
• A Remark on Linear Elliptic Differential Equations of Second Order

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