Sobolev Inequalities for Weighted Gradients
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Publication:3424253
DOI10.1080/03605300500361594zbMath1138.46024OpenAlexW2043903611MaRDI QIDQ3424253
Publication date: 15 February 2007
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300500361594
Related Items (19)
Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator ⋮ Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth ⋮ Rearrangements in metric spaces and in the Heisenberg group ⋮ Positive solutions of anisotropic Yamabe-type equations in $\mathbb {R}^n$ ⋮ Unique continuation properties for generalized Baouendi-Grushin operators with singular weights ⋮ Improved Hardy inequalities for Grushin operators ⋮ On a class of weighted anisotropic Sobolev inequalities ⋮ On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains ⋮ Shape perturbation of Grushin eigenvalues ⋮ A weighted Trudinger-Moser inequality on \(\mathbb{R}^N\) and its application to Grushin operator ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ On a Sobolev inequality with remainder terms in the Grushin plane ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms ⋮ Asymptotic behaviour of solutions for a class of degenerate elliptic critical problems ⋮ Divergent operator with degeneracy and related sharp inequalities ⋮ Bifurcation analysis for degenerate problems with mixed regime and absorption
Cites Work
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- The concentration-compactness principle in the calculus of variations. The limit case. I
- Isoperimetric inequality in the Grushin plane
- Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
- Local behavior of solutions of quasi-linear equations
- Kelvin transform for Grushin operators and critical semilinear equations
- On the Grushin operator and hyperbolic symmetry
- Weighted sobolev-poincaré inequalities for grushin type operators
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
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