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math.AP2011
W^{1,1}_0 minima of non coercive functionals
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study an integral non coercive functional defined on H^1_0, proving the existence of a minimum in W^{1,1}_0.
math.AP2011
A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions
Lucio Boccardo, Gisella Croce, Luigi Orsina
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summabilit…