Results 11 to 20 of about 1,349 (111)
On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball
, 2020 In this paper, we study the extremal function for the Trudinger-Moser inequality with vanishing weight in the unit ball B⊂RN (N 3). To be exact, let S be the set of all decreasing radially symmetrical functions and αN = Nω 1/(N−1) N−1 , where ωN−1 is the
Mengjie Zhang
semanticscholar +1 more source
A Sharp Liouville Theorem for Elliptic Operators [PDF]
, 2010 We introduce a new condition on elliptic operators $L= {1/2}\triangle + b \cdot \nabla $ which ensures the validity of the Liouville property for bounded solutions to $Lu=0$ on $\R^d$. Such condition is sharp when $d=1$.
Priola, Enrico, Wang, Feng-Yu
core +1 more source
Numerical Mathematics: Theory, Methods and Applications, 2019 Diagonalized Chebyshev rational spectral methods for solving second-order elliptic problems on the half/whole line are proposed. Some Sobolev bi-orthogonal rational basis functions are constructed which lead to the diagonalization of discrete systems ...
Yanmin Ren
semanticscholar +1 more source
Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]
, 2014 In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis +2 more
core +2 more sources
Acta Universitatis Sapientiae: Mathematica, 2022 This article shows the existence and multiplicity of weak solutions for the singular subelliptic system on the Heisenberg group {-Δℍnu+a(ξ)u(|z|4+t2)12=λFu(ξ,u,v)in Ω,-Δℍnv+b(ξ)v(|z|4+t2)12=λFv(ξ,u,v)in Ω,u=v=0on ∂Ω.\left\{ {\matrix{ { - {\Delta _{
Heidari S., Razani A.
doaj +1 more source
On the best constant of Hardy-Sobolev Inequalities [PDF]
, 2009 We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality.
Adimurthi +2 more
core +2 more sources
Advanced Nonlinear Studies, 2021 In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
doaj +1 more source
Advanced Nonlinear Studies, 2021 We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
doaj +1 more source
Decay of covariances, uniqueness of ergodic component and scaling limit for a class of $\nabla\phi$ systems with non-convex potential [PDF]
, 2008 We consider a gradient interface model on the lattice with interaction potential which is a nonconvex perturbation of a convex potential. Using a technique which decouples the neighboring vertices sites into even and odd vertices, we show for a class of ...
Codina Cotar, J. Deuschel
semanticscholar +1 more source
Gap localization of TE‐modes by arbitrarily weak defects
Journal of the London Mathematical Society, Volume 95, Issue 3, Page 942-962, June 2017., 2017 Abstract This paper considers the propagation of TE‐modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation.
B. M. Brown +4 more
wiley +1 more source