Results 101 to 110 of about 229 (132)

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
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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.
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An embedding theorem and the harnack inequality for nonlinear subelliptic equations

Communications in Partial Differential Equations, 1993
(1993). An embedding theorem and the harnack inequality for nonlinear subelliptic equations. Communications in Partial Differential Equations: Vol. 18, No. 9-10, pp. 1765-1794.
L. Capogna, D. Danielli, GAROFALO, NICOLA   +2 more
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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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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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Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group

Applied Mathematics-A Journal of Chinese Universities, 2003
The paper proposes some existence results (via variational approach) for fourth order semilinear subelliptic equations on the Heisenberg groups \[ \begin{cases} \Delta^2_Hu+c\Delta_Hu=f((z,t),u)\quad \text{ in}\;D,\\ u| _{\partial D}=\Delta_Hu| _{\partial D}=0 \end{cases} \] where \(D\) is a bounded open subset of the Heisenberg group \(H^n\) and ...
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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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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
exaly  

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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9 Nonlinear maximally subelliptic equations

2023
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