Semilinear elliptic Schrödinger equations involving singular potentials and source terms

DOI10.1016/J.NA.2023.113403zbMath1526.35130arXiv2203.01328OpenAlexW4387721101MaRDI QIDQ6086080

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Publication date: 9 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.01328

zbMATH Keywords

semilinear Schrödinger equationsolvability conditioninverse square potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (1)

Semilinear elliptic Schrödinger equations with singular potentials and absorption terms

Cites Work

• Unnamed Item
• Critical Hardy--Sobolev inequalities
• Semilinear elliptic PDEs with a singular potential
• Optimizing improved Hardy inequalities
• Isolated singularities for elliptic equations with Hardy operator and source nonlinearity
• Nonexistence of distributional supersolutions of a semilinear elliptic equation with Hardy potential
• On the existence of weak solutions of semilinear elliptic equations and systems with Hardy potentials
• On nonhomogeneous elliptic equations with the Hardy-Leray potentials
• Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains
• Weighted Hardy inequality with higher dimensional singularity on the boundary
• An elliptic semilinear equation with source term and boundary measure data: the supercritical case
• Martin kernel of Schrödinger operators with singular potentials and applications to B.V.P. for linear elliptic equations
• The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions
• Improving L ² estimates to Harnack inequalities
• Nonlinear equations and weighted norm inequalities
• A unified approach to improved $L^p$ Hardy inequalities with best constants
• Comparison results for PDEs with a singular potential
• Boundary singularities of semilinear elliptic equations with Leray-Hardy potential
• Hardy-type inequalities
• An elliptic semilinear equation with source term involving boundary measures: the subcritical case
• Semilinear elliptic equations and systems with measure data: existence and a priori estimates.

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