We show that the functional I(u)=∫Ba(|x|)u(x)dx+∫Bh(|x|,Δu(x)−λu(x))dxattains a minimum on the space W0 2,p(B)
Cellina, A., Flores, F. (1992). Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. ANNALES DE L'INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 9(4), 465-477 [10.1016/S0294-1449(16)30235-9].
Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions
CELLINA, ARRIGO;
1992
Abstract
We show that the functional I(u)=∫Ba(|x|)u(x)dx+∫Bh(|x|,Δu(x)−λu(x))dxattains a minimum on the space W0 2,p(B)
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