On the existence of bounded positive solutions of semilinear elliptic equations in exterior domains

DOI10.1215/S0012-7094-81-04828-6zbMath0478.35045WikidataQ125338457 ScholiaQ125338457MaRDI QIDQ1161090

Yukio Ogura, Yasuhiro Furusho

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsboundary value problemsresolvent kernelrecurrencetransiencediffusion processesbounded positive solutionsprincipal eigenvaluesexterior problemssecond order uniformly elliptic differential operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Diffusion processes (60J60)

Related Items (8)

Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications ⋮ The Dirichlet problem for quasilinear elliptic differential equations in unbounded domains ⋮ On the solutions of linear elliptic equations in exterior domains ⋮ Strict monotonicity of principal eigenvalues of elliptic operators in \(\mathbb R^d\) and risk-sensitive control ⋮ Principal eigenvalue of the p-laplacian in RN ⋮ Existence and bifurcation of positive solutions of asymptotically linear elliptic equations in exterior domains ⋮ The Landis conjecture with sharp rate of decay ⋮ Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains

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