Results 1 to 10 of about 13 (13)

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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Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group

Bulletin of Mathematical Sciences, 2016
We prove geometric $$L^p$$ L p versions of Hardy’s inequality for the sub-elliptic Laplacian on convex domains $$\Omega $$ Ω in the Heisenberg group $$\mathbb {H}^n$$ H n , where convex is meant in the Euclidean sense.
Simon Larson
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Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case

Advances in Nonlinear Analysis, 2020
We consider nonlinear sub-elliptic systems with VMO-coefficients for the case 1 < p < 2 under controllable growth conditions, as well as natural growth conditions, respectively, in the Heisenberg group.
Wang Jialin, Zhu Maochun, Gao Shujin, Liao Dongni   +3 more
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Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group

Advances in Nonlinear Analysis, 2018
We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation.
Wang Jialin, Manfredi Juan J.
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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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Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

Advances in Nonlinear Analysis, 2016
We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli

Analysis and Geometry in Metric Spaces
We present an overview of the scientific activity of Ermanno Lanconelli, to whom this volume is dedicated on the occasion of his birthday.
Bonfiglioli Andrea, Citti Giovanna, Cupini Giovanni, Kogoj Alessia E., Manfredini Maria, Montanari Annamaria, Morbidelli Daniele, Pascucci Andrea, Polidoro Sergio, Tralli Giulio, Uguzzoni Francesco   +10 more
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Existence results for critical growth Kohn-Laplace equations with jumping nonlinearities

Demonstratio Mathematica
This article is concerned with the existence of nontrivial solutions to critical growth Kohn-Laplace equations with jumping nonlinearities. Or, more specifically, we consider the following Kohn-Laplace problem: −ΔHu=bu+−au−+∣u∣Q∗−2u,inΩ,u=0,on∂Ω,\left ...
An Yu-Cheng, Tian Guai-Qi, An Bi-Jun
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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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Predation of Escherichia coli by Colpoda steinii. [PDF]

Appl Environ Microbiol, 1976
Drake JF, Tsuchiya HM.
europepmc   +1 more source