On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs
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Publication:4291846
DOI10.1016/0362-546X(94)90222-4zbMath0804.35035OpenAlexW2045521292MaRDI QIDQ4291846
Publication date: 15 January 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)90222-4
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)
Related Items (7)
Existence and starshapedness for the lane-emden equation ⋮ Geometric properties of superlevel sets of semilinear elliptic equations in convex domains ⋮ Starshapedness of level sets of solutions to elliptic PDEs ⋮ Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities ⋮ Starshapedeness for fully non‐linear equations in Carnot groups ⋮ Convex Configurations for Solutions to Semilinear Elliptic Problems in Convex Rings ⋮ Extremality conditions for the quasi-concavity function and applications
Cites Work
- On the existence of convex classical solutions to multilayer fluid problems in arbitrary space dimensions
- On the Convexity and on the Successive Approximation of Solutions in a Free–Boundary Problem with Two Fluid Phases
- On the multi-layer fluid problem: regularlty, uniqueness, convexity, and successive approximation of solutions
- A new approach to queer differential equations
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