Comparison theorems for a class of nonlinear elliptic boundary value problems
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Publication:3041601
DOI10.1016/0362-546X(85)90018-5zbMath0526.35007MaRDI QIDQ3041601
G. A. Philippin, Lawrence E. Payne
Publication date: 1985
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
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Cites Work
- On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem
- Solution of Dirichlet's problem for the equation \(\Delta u = -1\) in a convex region
- Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function
- On the mean value of the fundamental mode in the fixed membrane problem
- On Hopf type maximum principles for convex domains
- Some Applications of the Maximum Principle in the Problem of Torsional Creep
- Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
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