Infinitely many positive harmonic functions with an oscillating boundary condition on exterior regions

DOI10.1080/17476933.2014.1000885zbMath1321.35020OpenAlexW2318137826MaRDI QIDQ5264640

Qi Han

Publication date: 27 July 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.1000885

zbMATH Keywords

positive solutionsLaplace equationexterior regionsoscillating boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Laplace's equation with concave and convex boundary nonlinearities on an exterior region

Cites Work

• Infinitely many bounded solutions for the \(p\)-Laplacian with nonlinear boundary conditions
• Transmission problem for the Laplace equation and the integral equation method
• Representations of solutions of Laplacian boundary value problems on exterior regions
• A strong maximum principle for some quasilinear elliptic equations
• Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Semilinear Neumann problem in exterior domains
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian

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