Semi-linear cooperative elliptic systems involving Schr{\"o}dinger operators: Groundstate positivity or negativity

zbMath1402.35120arXiv1901.03505MaRDI QIDQ4554206

Jacqueline Fleckinger-Pellé, Bénédicte Alziary

Publication date: 13 November 2018

Full work available at URL: https://arxiv.org/abs/1901.03505

zbMATH Keywords

Schrödinger operatorsemilinear cooperative system

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61)

Cites Work

• Ground-state positivity, negativity, and compactness for a Schrödinger operator in \(\mathbb R^N\)
• An anti-maximum principle for second order elliptic operators
• On maximum principles and existence of positive solutions for some cooperative elliptic systems
• Remarks on sublinear elliptic equations
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Estimate of the number of eigenvalues for an operator of Schrödinger type
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Sign of the solution to a non-cooperative system
• Blow up of the solutions to a linear elliptic system involving Schr{\"o}dinger operators
• A Strong Maximum Principle for a Noncooperative Elliptic System
• Positivity and negativity of solutions to a Schrödinger equation in \(\mathbb{R}^N\).
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