Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary
From MaRDI portal
Publication:993338
DOI10.1007/s00205-009-0269-yzbMath1197.35091OpenAlexW2032906781MaRDI QIDQ993338
Jann-Long Chern, Chang-Shou Lin
Publication date: 10 September 2010
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-009-0269-y
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75)
Related Items (47)
Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent ⋮ Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions ⋮ The semilinear elliptic equations with double weighted critical exponents ⋮ Hardy-singular boundary mass and Sobolev-critical variational problems ⋮ Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group ⋮ A note on the sign-changing solutions for a double critical Hardy-Sobolev-Maz'ya problem ⋮ ON THE HARDY–POINCARÉ INEQUALITY WITH BOUNDARY SINGULARITIES ⋮ Hardy-Sobolev inequality with singularity a curve ⋮ The existence of a nontrivial weak solution to a double critical problem involving a fractional Laplacian in \(\mathbb{R}^N\) with a Hardy term ⋮ Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary ⋮ Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system ⋮ Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents ⋮ Existence and multiplicity of positive solutions for a perturbed semilinear elliptic equation with two Hardy-Sobolev critical exponents ⋮ Hardy-Sobolev inequalities with singularities on non smooth boundary: Hardy constant and extremals. I: Influence of local geometry ⋮ Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term ⋮ Extremal functions of generalized critical Hardy inequalities ⋮ Fourth order Hardy-Sobolev equations: singularity and doubly critical exponent ⋮ Weighted critical Hénon equations with \(p\)-Laplacian on the unit ball in \(\mathbb{R}^N\) ⋮ Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$ ⋮ Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities ⋮ The ground states of Hénon equations for \(p\)-Laplacian in \(\mathbb{R}^N\) involving upper weighted critical exponents ⋮ Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes ⋮ Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms ⋮ A class of Caffarelli-Kohn-Nirenberg type inequalities on the \(H\)-type group ⋮ The ground state solutions of Hénon equation with upper weighted critical exponents ⋮ Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality ⋮ Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials ⋮ A weighted anisotropic variant of the Caffarelli–Kohn–Nirenberg inequality and applications ⋮ Properties of solutions to semilinear elliptic problem with Hardy potential ⋮ Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions ⋮ Influence of mean curvature on mountain-pass solutions for Hardy-Sobolev equations ⋮ Infinitely many solutions for quasilinear elliptic equations involving double critical terms and boundary geometry ⋮ Sign-changing solutions to elliptic problems with two critical Sobolev-Hardy exponents ⋮ A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents ⋮ Revisiting an idea of Brézis and Nirenberg ⋮ Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents ⋮ On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form ⋮ On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem ⋮ The role of the mean curvature in a Hardy-Sobolev trace inequality ⋮ Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms ⋮ Hardy-Sobolev inequality with higher dimensional singularity ⋮ Influence of an L^{p}-perturbation on Hardy-Sobolev inequality with singularity a curve ⋮ On a fractional Hardy-Sobolev inequality with two-variables ⋮ Remarks on global solutions of dissipative wave equations with exponential nonlinear terms ⋮ Infinitely many solutions for an elliptic problem with double critical Hardy-Sobolev-Maz'ya terms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- The effect of curvature on the best constant in the Hardy-Sobolev inequalities
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- The symmetry of least-energy solutions for semilinear elliptic equations.
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent
- Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
- Interpolation inequalities with weights
- Estimates of the conformal scalar curvature equation via the method of moving planes
- Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities
- Locating the peaks of solutions via the maximum principle: I. The Neumann problem
This page was built for publication: Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary