Well‐posedness and approximation of solutions of linear divergence‐form elliptic problems on exterior regions

DOI10.1002/mma.3199zbMath1319.35024OpenAlexW2129309441MaRDI QIDQ5256784

Qi Han, J. F. G. Auchmuty

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3199

zbMATH Keywords

comparison theoremselliptic boundary value problemsexterior regionsSteklov eigenproblems\(A\)-harmonic functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Comparison principles in context of PDEs (35B51)

Related Items (1)

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

Cites Work

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• Bases and comparison results for linear elliptic eigenproblems
• Spectral representations of solutions of linear elliptic equations on exterior regions
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Representations of solutions of Laplacian boundary value problems on exterior regions
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
• Reproducing Kernels for Hilbert Spaces of Real Harmonic Functions
• Elliptic Equations: An Introductory Course
• The poisson equation with weights in exterior domains of Rⁿ

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