An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators
From MaRDI portal
Publication:2081198
DOI10.1007/s13398-022-01293-7zbMath1500.35109arXiv2111.05913OpenAlexW4285393703WikidataQ114219800 ScholiaQ114219800MaRDI QIDQ2081198
Augusto C. Ponce, Stefano Buccheri, Luigi Orsina
Publication date: 12 October 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05913
Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- On positive solutions of the \((p,A)\)-Laplacian with potential in Morrey space
- Existence and regularity of positive solutions of elliptic equations of Schrödinger type
- Existence and regularity results for relaxed Dirichlet problems with measure data
- A ground state alternative for singular Schrödinger operators
- On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: the one-dimensional case
- Semilinear elliptic equations and systems with diffuse measures
- Wiener criteria and energy decay for relaxed Dirichlet problems
- Large time behavior of the \(L^ p\) norm of Schrödinger semigroups
- Semilinear elliptic PDEs with a singular potential
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- Hopf potentials for the Schrödinger operator
- Criticality theory for Schrödinger operators with singular potential
- On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via singular potentials: the multi-dimensional case
- Kato's inequality when \(\Delta u\) is a measure
- On the nonexistence of Green's function and failure of the strong maximum principle
- The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms
- Schrödinger semigroups
- KATO'S INEQUALITY UP TO THE BOUNDARY
- Comparison results for PDEs with a singular potential
- Potential theory
