Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities
Articolo
Data di Pubblicazione:
2020
Citazione:
Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities / C. Cavaterra, S. Dipierro, A. Farina, Z. Gao, E. Valdinoci. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 270(2020), pp. 435-475. [Epub ahead of print] [10.1016/j.jde.2020.08.007]
Abstract:
We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account is very general and comprises also the singular and degenerate nonlinear case with non-standard growth conditions. The sourcing term is also allowed to have a very general form, depending on the space variables, on the solution itself, on its gradient, and possibly on higher order derivatives if additional structural conditions are satisfied.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Regularity theory; Singular and degenerate equations; (p, q)-Laplacian; Pointwise gradient estimates in terms of a potential function
Elenco autori:
C. Cavaterra, S. Dipierro, A. Farina, Z. Gao, E. Valdinoci
Link alla scheda completa: