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A note on global integrability of upper gradients of p-superharmonic functions

100%

Maasalo O., Zatorska-Goldstein A.

Colloquium Mathematicum

2009

tom 117

nr 2

281-288

We consider a complete metric space equipped with a doubling measure and a weak Poincaré inequality. We prove that for all p-superharmonic functions there exists an upper gradient that is integrable on H-chain sets with a positive exponent.

Weak compactness of solutions for fourth order elliptic systems with critical growth

81%

Goldstein P., Strzelecki P., Zatorska-Goldstein A.

Studia Mathematica

2013

tom 214

nr 2

137-156

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Zatorska-Goldstein A.

1 Goldstein P.

1 Maasalo O.

1 Strzelecki P.

1 2013

1 2009

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A note on global integrability of upper gradients of p-superharmonic functions

Weak compactness of solutions for fourth order elliptic systems with critical growth