The thresholds of the existence of maximizers for the critical sharp singular Moser–Trudinger inequality under constraints
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Annalen"
DOI: 10.1007/s00208-020-02010-8
Abstract: This paper is addressed to study the existence of maximizers for the singular Moser–Trudinger supremum under constraints in the critical case $$\begin{aligned} MT_{N}(a,\beta ) = \sup _{u\in W^{1,N}({\mathbb {R}}^N),\, \Vert \nabla u\Vert _N^a + \Vert… read more here.
Keywords: existence maximizers; moser trudinger; beta beta; inequality constraints ... See more keywords
On homogeneous second order linear general quantum difference equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1471-3
Abstract: AbstractIn this paper, we prove the existence and uniqueness of solutions of the β-Cauchy problem of second order β-difference equations a0(t)Dβ2y(t)+a1(t)Dβy(t)+a2(t)y(t)=b(t),t∈I,$$a_{0}(t)D_{\beta}^{2}y(t)+a_{1}(t)D_{\beta}y(t)+a_{2}(t)y(t)=b(t),\quad t \in I, $$a0(t)≠0$a_{0}(t)\neq0$, in a neighborhood of the unique fixed point s0$s_{0}$ of… read more here.
Keywords: second order; beta beta; difference; difference equations ... See more keywords