6 papers
An elliptic problem with two singularities
Gisella Croce
We study a Dirichlet problem for an elliptic equation defined by a degenerate coercive operator and a singular right-hand side. We will show that the right-hand side has some regul…
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.
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…
Sufficient conditions for existence of solutions to vectorial differential inclusions
Ana Cristina Barroso, Gisella Croce, Ana Ribeiro
In this paper we discuss the existence of solutions to vectorial differential inclusions. We investigate sufficient conditions for existence, more flexible than those available in…
On the existence of solutions to a nonlinear system involving isotropic deformations
Ana Cristina Barroso, Gisella Croce, Ana Ribeiro
In this paper we study the existence of solutions to an isotropic differential inclusion.
An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term
Gisella Croce
In this paper we study a Dirichlet problem for an elliptic equation with degenerate coercivity and a singular lower order term with natural growth with respect to the gradient. We…