Results 71 to 80 of about 109 (95)

9 Nonlinear maximally subelliptic equations

2023
exaly   +2 more sources

Nonlinear subelliptic equations

manuscripta mathematica, 2009
The authors define the notion of \(\nu\)-closed Hörmander system of vector fields and study the regularity of solutions to a class of quasilinear elliptic equations connected to a \(\nu\)-closed Hörmander system of vector fields.
Domokos, András, Manfredi, Juan J.
openaire   +1 more source

Liouville-Type Theorem for a Subelliptic Equation with Choquard Nonlinearity and Weight

Mathematical Notes, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duong, Anh Tuan, Nguyen, Thi Quynh
openaire   +2 more sources

On the Regularity of Nonlinear Subelliptic Equations

2009
We prove C⧜ regularity results for Lipschitz solutions of nondegenerate quasilinear subelliptic equations of p-Laplacian type for a class of Hormander vector fields that include certain nonnilpotent structures.
András Domokos, Juan J. Manfredi
openaire   +1 more source

Uniqueness of Solutions of a Class of Quasilinear Subelliptic Equations

2015
We study the uniqueness problem of the equation, −∆L,pu+|u|q−1u=h on RN, where q > p − 1 > 0. and N > p. Uniqueness results proved in this paper hold for equations associated to the mean curvature type operators as well as for more general quasilinear coercive subelliptic operators.
D'Ambrosio, L., MITIDIERI, ENZO
openaire   +4 more sources

Regularity for quasilinear second‐order subelliptic equations

Communications on Pure and Applied Mathematics, 1992
AbstractIn this paper, we study the regularity of solutions of the quasilinear equation where X = (X1,…,Xm) is a system of real smooth vector fields, Aij, B ϵ C∞(Ω × ℝ Rm+1). Assume that X satisfies the Hörmander condition and (Aij(x, z,ζ)) is positive definite. We prove that if u ϵ S2,α(Ω) (see Section 2) is a solution of the above equation, then u
openaire   +1 more source

Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group

Canadian Mathematical Bulletin, 2001
AbstractIn this paper, we establish the existence of positive solution of a nonlinear subelliptic equation involving the critical Sobolev exponent on the Heisenberg group, which generalizes a result of Brezis and Nirenberg in the Euclidean case.
openaire   +2 more sources

Schauder estimates for sub-elliptic equations

Journal of Evolution Equations, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. E. Gutierrez, LANCONELLI, ERMANNO
openaire   +1 more source

Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

American Journal of Mathematics, 1996
We establish sharp capacitary estimates for Carnot-Carathéodory rings associated to a system of vector fields of Hörmander type. Such estimates are instrumental to the study of the local behavior of singular solutions of a wide class of nonlinear subelliptic equations.
CAPOGNA L., DANIELLI D., GAROFALO, NICOLA   +2 more
openaire   +2 more sources

Subelliptic Hamilton-Jacobi equations: the coercive evolution case

Applicable Analysis, 2013
We prove the existence and uniqueness of a viscosity (Lipschitz) solution relative to bounded uniformly continuous (Lipschitz) initial data for a subelliptic evolution Hamilton–Jacobi equation with a coercive Hamiltonian. Moreover we also prove a comparison property for viscosity sub- and supersolutions.
openaire   +1 more source