Hardy-Sobolev inequality with higher dimensional singularity
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Publication:2329243
DOI10.1515/anly-2018-0006zbMath1430.35104arXiv1801.10493OpenAlexW2973726777WikidataQ127251768 ScholiaQ127251768MaRDI QIDQ2329243
Publication date: 17 October 2019
Published in: Analysis (München) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.10493
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions
- Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Optimal Hardy-Sobolev inequalities on compact Riemannian manifolds
- The role of the mean curvature in a Hardy-Sobolev trace inequality
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- The effect of curvature on the best constant in the Hardy-Sobolev inequalities
- Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- The best constants problem in Sobolev inequalities
- Elliptic equations with critical Sobolev exponents in dimension 3
- Hardy-Sobolev inequality with singularity a curve
- The Hardy-Schrödinger operator with interior singularity: the remaining cases
- Hardy-Sobolev critical elliptic equations with boundary singularities
- The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
- Best constants in the Sobolev imbedding theorem
- A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents
- Hardy-Sobolev equations on compact Riemannian manifolds
- Classification of solutions of a critical Hardy--Sobolev operator
- Weighted Hardy inequality on Riemannian manifolds
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Elliptic equations with critical growth and a large set of boundary singularities
- Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
- Positive Solutions of Semilinear Equations in Cones
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Optimal Sobolev inequalities and extremal functions. The three dimensional case
- Variational Methods
- The Role of the Mean Curvature in a Mixed Hardy-Sobolev Trace Inequality