Regularity of solutions to elliptic equations with Grushin's operator
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Wang, Xiaohuan, Zhang, Jihui
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Nonlinear singular parabolic equations associated with Baouendi-Grushin operator [PDF]
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tezin amacı Baouendi-Grushin vektör alanlarıyla ilişkilendirilmiş olan aşağıdaki doğrusal olmayan kısmi diferansiyel denklemin (?u/?t=?_? (a(z)|?_? u|^(p-2) ?_?
Gürsu, Erkan
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Ανισότητες Hardy και Rellich για διανυσματικά πεδία Baouendi-Grushin
Στην παρούσα εργασία θα μελετήσουμε ανισότητες Hardy και Rellich για Baouendi-Grushin διανυσματικά πεδία. Αρχικά θα δούμε την κλασσική ανισότητα Hardy στον χώρο R^n και στην συνέχεια θα δώσουμε κάποιους ορισμούς και προτάσεις για τη γ-κλίση και την ...
Αρβανίτης Μιχαήλ +1 more
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Liouville theorem for Lane-Emden equation of Baouendi-Grushin operators
In this paper, we establish a Liouville theorem for solutions to the Lane Emden equation involving Baouendi Grushin operators. We focus on solutions that are stable outside a compact set. Specifically, we prove that when p is smaller than the Joseph Lundgren exponent and differs from the Sobolev exponent, 0 is the unique solution stable outside a ...
Hua Chen, Xin Liao
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Multiplicity results for critical growth problems involving the p-Grushin operator
We prove the existence of multiple nontrivial solutions for degenerate elliptic critical growth problems of the form $$\begin{aligned} {\left\{ \begin{array}{ll}-\Delta _{\gamma ,p} u= \lambda |u|^{r-2}u+\left ...
Kanishka Perera +2 more
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Images of some subspaces of L-2(R-m) under Grushin and Hermite semigroup
The image of a subspace of under L-2(Rn+1) Grushin semigroup is characterized as direct sum of two weighted Bergman spaces. Hermite Sobolev space of positive order on R-n is defined, and the image of this space under Hermite semigroup is found out using ...
Patra, Partha Sarathi, D, Venku Naidu
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Heat kernel asymptotic expansions for the Heisenberg sub-Laplacian and the Grushin operator. [PDF]
Chang C, Li Y.
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Quantized circular photogalvanic effect in Weyl semimetals. [PDF]
de Juan F +3 more
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Probing topology by "heating": Quantized circular dichroism in ultracold atoms. [PDF]
Tran DT +4 more
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Pohozaev identities and Kelvin transformation of semilinear Grushin equation [PDF]
In this paper, we study Pohozaev identities, Kelvin transformation and their applications of semilinear Grushin equation. First, we establish two Pohozaev identities generated from translations and determine the location of the concentration point for ...
Wei, Yawei, Zhou, Xiaodong
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