Results 41 to 50 of about 371 (68)
Supplement a high-dimensional time fractional diffusion equation
Alexandria Engineering Journal, 2023 In this article, we discussed a high-dimensional time fractional diffusion equation which is used to write many nonlinear phenomena in three dimensional space diffusion processes.
Jian-Gen Liu, Fa-Zhan Geng, Xin Li
doaj
Shape optimization problems on metric measure spaces [PDF]
, 2013 We consider shape optimization problems of the form $$\min\big\{J(\Omega)\ :\ \Omega\subset X,\ m(\Omega)\le c\big\},$$ where $X$ is a metric measure space and $J$ is a suitable shape functional.
Buttazzo, Giuseppe, Velichkov, Bozhidar
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Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Proprietà di palla doppia in gruppi di Carnot di passo due [PDF]
, 2012 We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Tralli, Giulio
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Existence for (p, q) critical systems in the Heisenberg group
Advances in Nonlinear Analysis, 2019 This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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Gagliardo-Nirenberg Inequalities for Differential Forms in Heisenberg Groups
, 2015 The L 1-Sobolev inequality states that the L n/(n--1)-norm of a compactly supported function on Euclidean n-space is controlled by the L 1-norm of its gradient.
Baldi, Annalisa +2 more
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Obstacle problem for Arithmetic Asian options [PDF]
arXiv, 2009 We prove existence, regularity and a Feynman-Ka\v{c} representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic average.
arxiv
Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group
, 2023 In this paper, we study the nonlinear Sobolev type equations on the Heisenberg group. We show that the problems do not admit nontrivial local weak solutions, i.e. "instantaneous blow up" occurs, using the nonlinear capacity method.
Borikhanov, Meiirkhan B. +2 more
core
Global contact and quasiconformal mappings of Carnot groups [PDF]
arXiv, 2014 We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.
arxiv
Geometric Hardy inequalities on starshaped sets [PDF]
arXiv, 2019 In this paper, we present the geometric Hardy inequalities on the starshaped sets in the Carnot groups. Also, we obtain the geometric Hardy inequalities on half-spaces for general vector fields.
arxiv