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20042011
most citedA particular class of solutions of a system of eikonal equations

3 citations

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math.AP20121 cited

Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms

Lucio Boccardo, Gisella Croce, Luigi Orsina

We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a W^{1,1}_0 solution which is distributional or entropic, according…

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…

math.AP2011

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…

math.AP2011

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.

math.AP2011

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…

math.AP20103 cited

A particular class of solutions of a system of eikonal equations

Thierry Champion, Gisella Croce

In this article we study a system of eikonal equations. Our aim is to isolate the solutions which minimise the discontinuity set of the gradient.