Results 111 to 120 of about 304 (131)

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.
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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
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A class of subelliptic quasilinear equations

Journal of Global Optimization, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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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.
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A Fefferman–Phong Type Inequality and Applications to Quasilinear Subelliptic Equations

Potential Analysis, 1999
This paper deals with a nonlocal generalization of a famous C. Fefferman-D. Phong inequality proved in the class \(C^\infty_0(\mathbb{R}^n)\). In the context of the paper under consideration ``nonlocal'' means that the corresponding functional class does not involve compactly supported functions.
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Dirichlet problems for the quasilinear second order subelliptic equations

Acta Mathematica Sinica, 1996
Summary: We study the Dirichlet problem for the quasilinear second-order sub-elliptic equation \[ \sum^m_{i,j= 1} X^*_i(A_{i,j}(x, u)X_j u)+ \sum^m_{j= 1} B_j(x, u) X_j u+ C(x, u)= 0 \quad \text{in }\Omega,\quad u=\varphi\quad \text{on } \partial\Omega, \] where \(X= \{X_1,\dots, X_m\}\) is a system of real smooth vector fields which satisfies ...
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SUBRIEMANNIAN GEOMETRY AND SUBELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Geometric Function Theory in Several Complex Variables, 2004
DER-CHEN CHANG, PETER C. GREINER, JINGZHI TIE   +2 more
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Very weak solutions of nonlinear subelliptic equations

2005
The author proves that if \(u\) is a very weak solution of a nonlinear subelliptic problem with a growth of the nonlinear term of order \(p-1\), which is in \(W_X^{1,r}\), with ...
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