Results 11 to 20 of about 43 (43)

The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus

Advanced Nonlinear Studies, 2023
In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S., Chen Eric, Wang Yi, Yang Paul, Yung Po-Lam   +4 more
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Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups

Advances in Nonlinear Analysis, 2018
Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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Existence of standing waves for quasi-linear Schrödinger equations on Tn

Advances in Nonlinear Analysis, 2019
This paper is devoted to the study of the existence of standing waves for a class of quasi-linear Schrödinger equations on Tn with dimension n ≥ 3. By construction of a suitable Nash-Moser-type iteration scheme, we overcome the clusters of “small divisor”
Zhao Xin, Yan Weiping
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Nonexistence Results for Semilinear Equations in Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
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Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca, Citti Giovanna, Manfredini Maria   +2 more
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On Kirchhoff-Schrödinger-Poisson-type systems with singular and critical nonlinearity

Advances in Nonlinear Analysis
This work focuses on the Kirchhoff-Schrödinger-Poisson-type system with singular term and critical Sobolev nonlinearity as follows: −a+b∫Ω∣∇u∣pdxΔpu+ϕ∣u∣q−2u=λu−γ+∣u∣p∗−2uinΩ,−Δϕ=∣u∣qinΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle ...
Yang Baoling, Zhang Deli, Liang Sihua
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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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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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On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
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On an evolution equation in sub-Finsler geometry

Analysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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