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Existence and summability of solutions to nonlinear X-elliptic equations with measurable coefficients
M
DOI:10.1007/s10231-026-01667-3.png)
Abstract
En 中文
We prove an existence result for solutions to a class of nonlinear degenerate elliptic equations with measurable coefficients and zero Dirichlet boundary condition. The main term is given by a nonlinear operator in divergence form associated to a family of vector fields which satisfy a Poincar & eacute; inequality and the doubling condition. Furthermore, we prove that the solutions satisfy a generalization of the L-p-regularity results which hold for the solutions to Leray-Lions type equations.
Keywords:
Subelliptic equations
H & ouml
rmander vector fields
Leray-Lions operators
Degenerate elliptic equations
Regularity of solutions
Journal
A
IF:
0.9
Papers:
75
Citations:
0
