Results 1 to 10 of about 304 (131)
Subelliptic equations with singular nonlinearities on the Heisenberg group [PDF]
Boundary Value Problems, 2018 In this paper, we consider the Dirichlet boundary value problem to singular semilinear subelliptic equation on the Heisenberg group − Δ H u = 1 u γ + f ( u ) , γ > 0 . $$-\Delta_{\mathbb{H}}u=\frac{1}{u^{\gamma}}+f(u), \quad \gamma>0.
Xinjing Wang, Yongzhong Wang
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Regularity of subelliptic Monge–Ampère equations
Advances in Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristian Rios +2 more
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Propagation of Singularities for Subelliptic Wave Equations
Communications in Mathematical Physics, 2022 H{ö}rmander's propagation of singularities theorem does not fully describe the propagation of singularities in subelliptic wave equations, due to the existence of doubly characteristic points. In the present work, building upon a visionary conference paper by R.
Letrouit, Cyril
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Convexity of average operators for subsolutions to subelliptic equations [PDF]
Analysis & PDE, 2014 We study convexity properties of the average integral operators naturally associated with divergence-form second-order subelliptic operators ℒ with nonnegative characteristic form. When ℒ is the classical Laplace operator, these average operators are the usual average integrals over Euclidean spheres.
BONFIGLIOLI, ANDREA +2 more
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Subelliptic and parametric equations on Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2015 This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for ...
Molica Bisci G, Ferrara M
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Global higher integrability for very weak solutions to nonlinear subelliptic equations
Boundary Value Problems, 2017 In this paper we consider the following nonlinear subelliptic Dirichlet problem: { X ∗ A ( x , u , X u ) + B ( x , u , X u ) = 0 , x ∈ Ω , u − u 0 ∈ W X , 0 1 , r ( Ω ) , $$ \textstyle\begin{cases} X^{*}A(x,u,Xu)+ B(x,u,Xu)=0,& x\in\Omega,\\ u-u_{0}\in ...
Guangwei Du, Junqiang Han
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Some Results on Subelliptic Equations [PDF]
Acta Mathematica Sinica, English Series, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Li, Chen, De Zhong, Yang, Yang
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Sharp Hardy Identities and Inequalities on Carnot Groups
Advanced Nonlinear Studies, 2021 In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
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Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities [PDF]
Opuscula Mathematica, 2013 For a class of sub-elliptic equations on Heisenberg group \(\mathbb{H}^N\) with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint.
Jianqing Chen, Eugénio M. Rocha
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Regularity of subelliptic Monge-Ampère equations in the plane [PDF]
Transactions of the American Mathematical Society, 2009 We establish a C ∞ C^\infty
Guan, Pengfei, Sawyer, Eric
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