Estimates of Green and Martin Kernels for Schrödinger operators with singular potential in Lipschitz domains
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Publication:2316443
DOI10.1016/j.anihpc.2018.09.003zbMath1426.35098arXiv1801.09491OpenAlexW2963107592MaRDI QIDQ2316443
Publication date: 29 July 2019
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/1801.09491
Related Items
Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations, Elliptic equations with Hardy potential and gradient-dependent nonlinearity, Schrödinger equations with singular potentials: linear and nonlinear boundary value problems, Positive solutions of Schrödinger equations in product form and Martin compactifications of the plane. II
Cites Work
- Unnamed Item
- Unnamed Item
- On criticality and ground states of second order elliptic equations. II
- Criticality and ground states for second-order elliptic equations
- Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
- Negatively curved manifolds, elliptic operators, and the Martin boundary
- Semismall perturbations in the Martin theory for elliptic equations
- First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
- Elliptic partial differential equations of second order
- Sharp estimates for the Green function in Lipschitz domains
- Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains
- Sharp estimates for the Green function, 3G inequalities, and nonlinear Schrödinger problems in uniform cones
- Global estimates for kernels of Neumann series and Green's functions
- Optimal Hardy inequalities in cones
- Schrödinger semigroups
- Global Green’s Function Estimates