Nonlinear elliptic equations on the upper half space

DOI10.1142/S0219199720500856zbMath1485.35240arXiv1906.03739OpenAlexW3091893624MaRDI QIDQ5062148

Meijun Zhu, Sufang Tang, Lei Wang

Publication date: 15 March 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03739

zbMATH Keywords

nonlinear boundary conditionclassification of solutionssemilinear equation with Laplacian

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition
• Classifications of nonnegative solutions to some elliptic problems.
• On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
• Uniqueness theorems through the method of moving spheres
• Positive harmonic functions on the upper half space satisfying a nonlinear boundary condition
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate