Fundamental solutions for Schrödinger operators with general inverse square potentials
From MaRDI portal
Publication:4576770
DOI10.1080/00036811.2017.1286648zbMath1395.35002arXiv1703.04053OpenAlexW2595512817WikidataQ58250074 ScholiaQ58250074MaRDI QIDQ4576770
Hichem Hajaiej, Suad Alhomedan, Huyuan Chen, Peter Alexander Markowich
Publication date: 10 July 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.04053
Fundamental solutions to PDEs (35A08) Schrödinger operator, Schrödinger equation (35J10) Heat kernel (35K08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (5)
Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations ⋮ Fast and slow decaying solutions of Lane-Emden equations involving nonhomogeneous potential ⋮ Dirichlet problems involving the Hardy-Leray operators with multiple polars ⋮ Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain ⋮ On the weighted Dirichlet eigenvalues of Hardy operators involving critical gradient terms
Cites Work
- Unnamed Item
- Unnamed Item
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- On semilinear elliptic equations with borderline Hardy potentials
- A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
- A nonlinear elliptic PDE with the inverse square potential.
- A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential
- On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator
- Hardy inequalities and some critical elliptic and parabolic problems
- Existence and convergence of positive weak solutions of \(-\Delta u=u^{n\over {n-2}}\) in bounded domains of \(\mathbb{R}^ n\), \(n\geq 3\)
- Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials
- On a semilinear elliptic equation with inverse-square potential
- An improved Hardy-Sobolev inequality and its application
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Parabolic Harnack inequality for the heat equation with inverse-square potential
- Hardy-type inequalities
This page was built for publication: Fundamental solutions for Schrödinger operators with general inverse square potentials