Bubbling nodal solutions for a large perturbation of the Moser–Trudinger equation on planar domains
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DOI: 10.1007/s00208-020-01975-w
Abstract: In this work we study the existence of nodal solutions for the problem $$\begin{aligned} -\Delta u = \lambda u e^{u^2+|u|^p} \quad \text { in }\quad \Omega ,\quad u = 0 \quad \text { on }\partial… read more here.
Keywords: moser trudinger; nodal solutions; solutions large; equation ... See more keywords
The thresholds of the existence of maximizers for the critical sharp singular Moser–Trudinger inequality under constraints
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DOI: 10.1007/s00208-020-02010-8
Abstract: This paper is addressed to study the existence of maximizers for the singular Moser–Trudinger supremum under constraints in the critical case $$\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
New geometric aspects of Moser–Trudinger inequalities on Riemannian manifolds: the non-compact case
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.01.008
Abstract: Abstract In the first part of the paper we investigate some geometric features of Moser–Trudinger inequalities on complete non-compact Riemannian manifolds. By exploring rearrangement arguments, isoperimetric estimates, and gluing local uniform estimates via Gromov's covering… read more here.
Keywords: geometric aspects; riemannian manifolds; new geometric; moser trudinger ... See more keywords
Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space
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DOI: 10.1186/s13660-017-1398-8
Abstract: In this paper, we are concerned with a singular version of the Moser-Trudinger inequality with the exact growth condition in the n-dimension hyperbolic space Hn$\mathbb{H}^{n}$. Our result is a natural extension of the work of… read more here.
Keywords: exact growth; moser trudinger; hyperbolic space; trudinger inequality ... See more keywords
The Hardy–Moser–Trudinger inequality via the transplantation of Green functions
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020155
Abstract: We provide a new proof of the Hardy–Moser–Trudinger inequality and the existence of its extremals which are established by Wang and Ye ("G. Wang, and D. Ye, A Hardy–Moser–Trudinger inequality, Adv. Math, 230 (2012) 294–230.")… read more here.
Keywords: hardy moser; moser trudinger; trudinger inequality; transplantation green ... See more keywords