1
Return

Existence and summability of solutions to nonlinear X-elliptic equations with measurable coefficients

delete2026-02-01
delete0
delete
OA
AI
M
Marco Picerni *
DOI:10.1007/s10231-026-01667-3delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

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
ANNALI DI MATEMATICA PURA ED APPLICATA
IF:
0.9
Papers:
75
Citations:
0

Organization

I
international school for advanced studies (sissa)
Scholars:
92
Papers: 55
Citations: 0
Cited Papers

Cited Papers

Citing Papers

Citing Papers