Results 101 to 110 of about 259 (139)

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Sobolev inequalities

We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.
Martín i Pedret, Joaquim||, Milman, Mario||, Pustylnik, Evgeniy   +2 more
openaire   +1 more source

Interpolation inequalities between Lorentz space and BMO: the endpoint case (L^{1,infinity}, BMO)

Electronic Journal of Differential Equations, 2019
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for $(L^{1,\infty}, BMO)$, that we call the endpoint case.
Nguyen Anh Dao, Nguyen Thi Ngoc Hanh, Tran Minh Hieu, Huy Bac Nguyen   +3 more
doaj  

Stability Results for Sobolev, Logarithmic Sobolev, and Related Inequalities

Obtaining explicit stability estimates in classical functional inequalities like the Sobolev inequality has been an essentially open question for 30 years, after the celebrated but non-constructive result of G. Bianchi and H. Egnell in 1991. Recently, new methods have emerged which provide some clues on these fascinating questions.
openaire   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Sobolev Inequalities for Weighted Gradients

Communications in Partial Differential Equations, 2006
We study symmetry, existence, and uniqueness properties of extremal functions for the weighted Sobolev inequality where x ∈ ℝ m , y ∈ ℝ k with m,k ≥ 1 and n = m + k, α > 0, and Q = m + k(α + 1).
Roberto Monti
openaire   +3 more sources

On the discrete Sobolev inequalities

Journal of Numerical Mathematics, 2023
Abstract We prove a discrete version of the famous Sobolev inequalities in ℝ d for d ∈ ℕ*, p ∈ [1, +∞[ for general non orthogonal meshes with possibly non convex cells. We follow closely the proof of the continuous Sobolev inequality based on the embedding of BV(ℝ d
Kameni Ngwamou, Sédrick, Ndjinga, Michael   +1 more
openaire   +3 more sources

On F-Sobolev and Orlicz-Sobolev inequalities

Frontiers of Mathematics in China, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kang, Cholryong, Wang, Fengyu
openaire   +4 more sources

Sobolev’s Inequality for Musielak–Orlicz–Sobolev Functions

Results in Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura   +2 more
openaire   +1 more source

A Sobolev Interpolation Inequality and a Gross-Sobolev Logarithmic Inequality

Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Reduced Sobolev Inequalities

Canadian Mathematical Bulletin, 1988
AbstractThe Sobolev inequality of ordermasserts that ifp≧ 1,mp<nand1/q = 1/p — m/n,then the Lq-norm of a smooth function with compact support in Rnis bounded by a constant times the sum of theLp-norms of the partial derivatives of ordermof that function.
openaire   +2 more sources