Schrödinger equations with indefinite weights in the whole space

DOI10.1016/j.crma.2009.09.016zbMath1179.35204OpenAlexW2092859901MaRDI QIDQ1040553

Laure Cardoulis

Publication date: 25 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.016

zbMATH Keywords

maximum principleSchrödinger operatorSchrödinger equationsprincipal eigenvaluesCourant-Fischer formulas

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Eigenvalues of Schrödinger operators with definite and indefinite weights

Cites Work

• An anti-maximum principle for linear elliptic equations with an indefinite weight function
• An extension of maximum and anti-maximum principles to a Schrödinger equation in \(\mathbb{R}^2\)
• Global bifurcation results for a semilinear elliptic equation on all of \(\mathbb{R}^ N\)
• Principal Eigenvalues for Problems with Indefinite Weight Function on R N
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