Monotonicity and Symmetry of Solutions of Fully Nonlinear Elliptic Equations on Bounded domains
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Publication:4713360
DOI10.1080/03605309108820766zbMath0735.35005OpenAlexW2049045642MaRDI QIDQ4713360
Publication date: 25 June 1992
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309108820766
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
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Cites Work
- Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
- Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
- Elliptic equations with nearly critical growth
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Symmetry and related properties via the maximum principle
- A symmetry problem in potential theory
- Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
- Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
