Strong maximum principle for Schrödinger operators with singular potential

DOI10.1016/j.anihpc.2014.11.004zbMath1342.35083arXiv1311.4856OpenAlexW3100537449MaRDI QIDQ252566

Luigi Orsina, Augusto C. Ponce

Publication date: 3 March 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4856

zbMATH Keywords

maximum principlecapacitySchrödinger operatorKato's inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (10)

Schrödinger operators involving singular potentials and measure data ⋮ The duality method for mean field games systems ⋮ On the definition of the solution to a semilinear elliptic problem with a strong singularity at \(u = 0\) ⋮ Hopf potentials for the Schrödinger operator ⋮ Weak maximum principle for Dirichlet problems with convection or drift terms ⋮ Interaction of localized large diffusion and boundary conditions ⋮ Maximum principles for Laplacian and fractional Laplacian with critical integrability ⋮ On semilinear elliptic equations with diffuse measures ⋮ On the nonexistence of Green's function and failure of the strong maximum principle ⋮ On the strong maximum principle for a fractional Laplacian

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