most citedExistence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms

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math.AP2024★ 1 cited

Elliptic problems with superlinear convection terms

L. Boccardo, S. Buccheri, G. R. Cirmi

In this manuscript we deal with elliptic equations with superlinear first order terms in divergence form of the following type \[ -\mbox{div}(M(x)\nabla u)= -\mbox{div}(h(u)E(x))+f…

math.AP2012

A semilinear problem with a W^{1,1}_0 solution

Lucio Boccardo, Gisella Croce, Luigi Orsina

We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional solution.

math.AP2012★ 1 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…