Positive solution for a boundary singular semilinear equation with Hardy–Sobolev exponent
DOI10.1080/17476933.2020.1857369zbMath1467.35182OpenAlexW3119674796MaRDI QIDQ4994472
Publication date: 18 June 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2020.1857369
boundary singularitiessemilinear elliptic equationHardy-Schrödinger operatorcritical Hardy-Sobolev exponent
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- The effect of curvature on the best constant in the Hardy-Sobolev inequalities
- Revisiting an idea of Brézis and Nirenberg
- Elliptic equations with critical Sobolev exponents in dimension 3
- The Hardy-Schrödinger operator with interior singularity: the remaining cases
- Hardy-Sobolev critical elliptic equations with boundary singularities
- Hardy-singular boundary mass and Sobolev-critical variational problems
- Existence of positive solutions of some semilinear elliptic equations with singular coefficients
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
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