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On weak minima of certain integral functionals

100%

Moscariello G.

Annales Polonici Mathematici

1998

tom 69

nr 1

37-48

We prove a regularity result for weak minima of integral functionals of the form $∫_Ω F(x,Du) dx$ where F(x,ξ) is a Carathéodory function which grows as $|ξ|^p$ with some p > 1.

Optimal $L^{p}$-properties of Green's functions for non-divergence elliptic equations in two dimensions

63%

Moscariello G., Sbordone C.

Studia Mathematica

2005

tom 169

nr 2

133-141

A sharp integrability result for non-negative adjoint solutions to planar non-divergence elliptic equations is proved. A uniform estimate is also given for the Green's function.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

2 Moscariello G.

1 Sbordone C.

1 2005

1 1998

Wyniki wyszukiwania

On weak minima of certain integral functionals

Optimal $L^{p}$-properties of Green's functions for non-divergence elliptic equations in two dimensions