ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry. KEY WORDS: Nonlinear PDE; hyperbolic symmetry; Hardy–Sobolev inequalities. MATHEMATICS SUBJECT CLASSIFICATION (2000): Primary 35J60; Secondary 35B05, 35A15
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
ABSTRACT. – We prove some symmetry theorems for positive solutions of elliptic equations in some non...
Denote points in ℝ^k ×R^{N - k} as pairs ξ = (x,y), and assume 2 ≤ k < N. In this paper, we study th...
ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequali...
ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalit...
AbstractWe prove nondegeneracy of extremals for some Hardy–Sobolev–Maz'ya inequalities and present a...
a b s t r a c t Article history: Received 16 April 2008 Revised 5 September 2008 Available onlin...
In this note we discuss symmetry properties of the extremals of a weighted Hardy– Sobolev inequalit...
In this note we discuss simmetry properties of a weigheted Hardy-Sobolev inequalities due to M. Badi...
We review results concerning optimal sobolev inequalities in Riemanian manifolds and recent results ...
We study symmetry, existence, and uniqueness properties of extremal functions for a weighted Sobole...
Abstract. We review some recent results concernig existence/ non existence/ uniqueness of extremals...
We consider Hardy-Sobolev nonlinear equations on domains with singularities. We introduced this prob...
We consider Hardy-Sobolev nonlinear equations on domains with singularities. We introduced this prob...
Musina‡ Abstract. Denote points in Rk ×RN−k as pairs ξ = (x, y), and assume 2 ≤ k < N. In this pa...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
ABSTRACT. – We prove some symmetry theorems for positive solutions of elliptic equations in some non...
Denote points in ℝ^k ×R^{N - k} as pairs ξ = (x,y), and assume 2 ≤ k < N. In this paper, we study th...
ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequali...
ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalit...
AbstractWe prove nondegeneracy of extremals for some Hardy–Sobolev–Maz'ya inequalities and present a...
a b s t r a c t Article history: Received 16 April 2008 Revised 5 September 2008 Available onlin...
In this note we discuss symmetry properties of the extremals of a weighted Hardy– Sobolev inequalit...
In this note we discuss simmetry properties of a weigheted Hardy-Sobolev inequalities due to M. Badi...
We review results concerning optimal sobolev inequalities in Riemanian manifolds and recent results ...
We study symmetry, existence, and uniqueness properties of extremal functions for a weighted Sobole...
Abstract. We review some recent results concernig existence/ non existence/ uniqueness of extremals...
We consider Hardy-Sobolev nonlinear equations on domains with singularities. We introduced this prob...
We consider Hardy-Sobolev nonlinear equations on domains with singularities. We introduced this prob...
Musina‡ Abstract. Denote points in Rk ×RN−k as pairs ξ = (x, y), and assume 2 ≤ k < N. In this pa...
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are...
ABSTRACT. – We prove some symmetry theorems for positive solutions of elliptic equations in some non...
Denote points in ℝ^k ×R^{N - k} as pairs ξ = (x,y), and assume 2 ≤ k < N. In this paper, we study th...