Positive harmonic functions on the upper half space satisfying a nonlinear boundary condition
From MaRDI portal
Publication:1916344
zbMath0853.35045MaRDI QIDQ1916344
Publication date: 5 January 1997
Published in: Differential and Integral Equations (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20) Solutions to PDEs in closed form (35C05)
Related Items
A uniqueness theorem for harmonic functions on the upper-half plane, New existence results for prescribed mean curvature problem on balls under pinching conditions, Nonlinear elliptic equations on the upper half space, Classification theorems for solutions of higher order boundary conformally invariant problems. I., Positive solutions of some semilinear elliptic equations in \(\mathbb{R}_{+}^{n}\) with Neumann boundary conditions, Uniqueness theorems through the method of moving spheres, Liouville type theorem for fractional Laplacian system, Harmonic functions with nonlinear Neumann boundary condition and their Morse indices, Uniqueness results for positive harmonic functions on \(\overline{\mathbb{B}^n}\) satisfying a nonlinear boundary condition, Properties of Solutions to Fractional Laplace Equation with Singular Term, Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods, Existence of positive solutions to a Laplace equation with nonlinear boundary condition, On elliptic problems with indefinite superlinear boundary conditions., Liouville type theorem for nonlinear elliptic equation with general nonlinearity, Solutions for the prescribing mean curvature equation, Monotonicity and nonexistence results for some fractional elliptic problems in the half-space, Uniqueness of positive solutions to some nonlinear Neumann problems, Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\), Positive solutions of nonlinear problems involving the square root of the Laplacian, Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
