On the solutions of linear elliptic equations in exterior domains

DOI10.1016/0022-0396(83)90066-9zbMath0488.35029OpenAlexW2043788552MaRDI QIDQ1166016

Yukio Ogura, Yasuhiro Furusho

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90066-9

zbMATH Keywords

diffusion processprincipal eigenvaluesexterior problemsuniformly ellipticFeynman-Kac representations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Diffusion processes (60J60)

Related Items (3)

The Dirichlet problem for quasilinear elliptic differential equations in unbounded domains ⋮ Principal eigenvalue of the p-laplacian in RN ⋮ Existence and bifurcation of positive solutions of asymptotically linear elliptic equations in exterior domains

Cites Work

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• On isolated singularities of solutions of second order elliptic differential equations
• Reinforcement of the principal eigenvalue of an elliptic operator
• On a limit theorem for branching one-dimensional diffusion processes
• On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains
• Criteria for recurrence and existence of invariant measures for multidimensional diffusions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Kac functional and Schrödinger equation

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