On the existence of weak solutions of semilinear elliptic equations and systems with Hardy potentials

DOI10.1016/j.jde.2018.07.060zbMath1404.35165arXiv1609.06671OpenAlexW2963916698MaRDI QIDQ1993984

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06671

zbMATH Keywords

semilinear elliptic equationsboundary value problemsHardy potentialsecond order elliptic systems

Mathematics Subject Classification ID

Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Nonlinear fractional elliptic systems with boundary measure data: existence and a priori estimates ⋮ Elliptic equations with Hardy potential and gradient-dependent nonlinearity ⋮ Existence and multiplicity results for nonlocal Lane-Emden systems ⋮ Semilinear elliptic Schrödinger equations involving singular potentials and source terms ⋮ Semilinear nonlocal elliptic equations with source term and measure data ⋮ Multiplicity and uniqueness for Lane-Emden equations and systems with Hardy potential and measure data ⋮ On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures ⋮ Semilinear elliptic equations with Hardy potential and subcritical source term ⋮ Semilinear elliptic equations with Hardy potential and gradient nonlinearity

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