Maximum Principles and Bounds in Some Inhomogeneous Elliptic Boundary Value Problems

DOI10.1137/0508066zbMath0372.35032OpenAlexW2093947744MaRDI QIDQ4150080

Philip W. Schaefer, Rene P. Sperb

Publication date: 1977

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0508066

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

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Estimates for Eigenfunctions and Eigenvalues of Nonlinear Elliptic Problems ⋮ Maximum principles and nonlinear elliptic problems ⋮ Some nonstandard problems for a class of quasilinear second order elliptic equations ⋮ Maximum principles for a class of semilinear elliptic boundary-value 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 ⋮ Maximum principles for a class of nonlinear elliptic boundary value problems ⋮ A semilinear elliptic eigenvalue problem, II. The plasma problem ⋮ Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature ⋮ Bounds for the spectrum and the norm of solutions of nonlinear elliptic equations and systems ⋮ An elliptic boundary-value problem with a discontinuous nonlinearity

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