Results 41 to 50 of about 71,930 (202)
A sharp subelliptic Sobolev embedding theorem with weights
, 2015 The purpose of this short article is to prove some potential estimates that naturally arise in the study of subelliptic Sobolev inequalites for functions.
Yung, Po-Lam
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
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
Weighted Rellich Inequality on H-Type Groups and Nonisotropic Heisenberg Groups
Journal of Inequalities and Applications, 2010 We prove a sharp weighted Rellich inequality associated with a class of Greiner-type vector fields on H-type groups. We also obtain some weighted Hardy- and Rellich-type inequalities on nonisotropic Heisenberg groups.
Yongyang Jin, Yazhou Han
doaj +2 more sources
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Hypercontractive semigroups and Sobolev’s inequality [PDF]
Transactions of the American Mathematical Society, 1975 If H ⩾ 0 H \geqslant 0 is the generator of a hypercontractive semigroup (HCSG), it is known that ( H + 1 ) − 1 / 2 {(H + 1)^{ - 1/2}} is a bounded operator from
openaire +1 more source
Sobolev interpolation inequalities with weights [PDF]
Transactions of the American Mathematical Society, 1991 We study weighted local Sobolev interpolation inequalities of the form \[ 1 w 2 ( B ) ∫
Gutierrez, Christian E. +1 more
openaire +2 more sources
Generalized Ponce’s inequality
Journal of Inequalities and Applications, 2021 We provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.
Julio Muñoz
doaj +1 more source
Bilateral Hardy-type inequalities
, 2012 This paper studies the Hardy-type inequalities on the intervals (may be infinite) with two weights, either vanishing at two endpoints of the interval or having mean zero.
Chen, Mu-Fa
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley +1 more source