On the existence of entire solutions to a class of semilinear elliptic equations on noncompact Riemannian manifolds

DOI10.1134/S0001434607010154zbMath1127.58019MaRDI QIDQ2460521

Elena A. Mazepa

Publication date: 12 November 2007

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

zbMATH Keywords

Riemann manifoldHarmonic functionComparison principleEntire functionElliptic boundary-value problemStochastic completeness

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems on manifolds (58J32)

Related Items (5)

The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds ⋮ Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators ⋮ Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry ⋮ On capacitary characteristics of noncompact Riemannian manifolds ⋮ Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations

Cites Work

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• Entire solutions of the inequality div\((A| Du|)Du\geqq f(u)\)
• L ¹ Properties of Second order Elliptic Operators
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

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