Principal Eigenvalues with Indefinite Weight Functions

DOI10.1090/S0002-9947-97-01797-2zbMath0877.35083MaRDI QIDQ4336548

Zhiren Jin

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceLaplace-Beltrami operatornon-existence

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (14)

Positive solutions of a logistic equation on unbounded intervals ⋮ A Picone's identity for the p-Laplacian and applications ⋮ Some results on subelliptic equations ⋮ A variational formula for Dirichlet forms and existence of ground states ⋮ On a Class of Schrödinger-Type Equations with Indefinite Weight Functions ⋮ Existence and non-existence results for a logistic-type equation on manifolds ⋮ On the construction of super and subsolutions for elliptic equations on all of N ⋮ Principal eigenvalues for indefinite weight problems in all of ℝ^{𝕕} ⋮ A concentration-compactness lemma with applications to singular eigenvalue problems ⋮ Liouville type result and long time behavior for Fisher-KPP equation with sign-changing and decaying potentials ⋮ Critical phenomena in linear elliptic problems ⋮ Ground state for the Schrödinger operator with the weighted Hardy potential ⋮ Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\) ⋮ Principal eigenvalues and Sturm comparison via Picone's identity

Cites Work

• Existence and nonexistence of steady-state solutions for a selection- migration model in population genetics
• A selection-migration model in population genetics
• Principal Eigenvalues for Problems with Indefinite Weight Function on R N
• On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics
• Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
• The existence of principal eigenvalues for problems with indefinite weight function on ℝ^k
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