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Published in 2020 at "Analysis Mathematica"
DOI: 10.1007/s10476-020-0049-3
Abstract: In this paper, we study a Trudinger-Moser inequality with a vanishing weight in the unit disk. Precisely, let $$B$$ B be the unit disk and β ≥ 0 be a real number. Denote $${\cal S}…
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Keywords:
unit disk;
unit;
inequality vanishing;
moser inequality ... See more keywords
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Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125795
Abstract: In this paper we obtain Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities with sharp constants on Riemannian manifolds with non-positive sectional curvature and, in particular, a variety of new estimates on hyperbolic spaces. Moreover, in…
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Keywords:
caffarelli kohn;
trudinger moser;
weighted trudinger;
hardy weighted ... See more keywords
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Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1647183
Abstract: ABSTRACT Let be the unit ball in , be the standard Sobolev space. We consider an improved Trudinger–Moser inequality involving -norm. Denote the first eigenvalue of the n-Laplacian operator. We prove that for any p>1…
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Keywords:
moser inequality;
trudinger moser;
inequality;
improved trudinger ... See more keywords
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Published in 2020 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1907-24
Abstract: Let $W^{1,2} \mathbb{R}^2 $ be the standard Sobolev space. Denote for any real number $p>2$ \begin{align*}\lambda_{p}=\inf\limits_{u\in W^{1,2} \mathbb{R}^2 ,u\not\equiv0}\frac{\int_{\mathbb{R}^{2}} |\nabla u|^2+|u|^2 dx}{ \int_{\mathbb{R}^{2}}|u|^pdx ^{2/p}}. \end{align*} Define a norm in $W^{1,2} \mathbb{R}^2 $ by \begin{align*}\|u\|_{\alpha,p}=\left \int_{\mathbb{R}^{2}}…
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Keywords:
moser inequality;
trudinger moser;
int mathbb;
mathbb ... See more keywords
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Published in 2017 at "Discrete and Continuous Dynamical Systems - Series S"
DOI: 10.3934/dcdss.2018031
Abstract: By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian…
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Keywords:
bifurcation results;
nonlinearity;
moser;
trudinger moser ... See more keywords