Compact embedding of a degenerate Sobolev space and existence of entire solutions to a semilinear equation for a Grushin-type operator
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Publication:2568691
zbMath1072.35073MaRDI QIDQ2568691
David Pardo, Francesca Lascialfari
Publication date: 19 October 2005
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/108574
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)
Related Items (5)
A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields ⋮ Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms ⋮ Divergent operator with degeneracy and related sharp inequalities
Cites Work
- Nonlinear scalar field equations. I: Existence of a ground state
- Rearrangements and convexity of level sets in PDE
- Symétrie et compacité dans les espaces de Sobolev
- Hypoelliptic differential operators and nilpotent groups
- Existence of solitary waves in higher dimensions
- Critical Sobolev exponent for degenerate elliptic operators
- On Grushin's equation
- An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality
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