In this paper we study the questions of existence and uniqueness of solutions for equations of the form Au = F (x; u), posed in , an open subset of RN (bounded or unbounded), with Dirichlet boundaryâ€¦ (More)

We show existence and regularity of solutions in R to nonlinear elliptic equations of the form âˆ’div A(x, Du) + g(x, u) = f , when f is just a locally integrable function, under appropriate growthâ€¦ (More)

The purpose of this paper is to prove the existence of solutions for certain types of nonlinear parabolic partial differential equations posed in the whole space, when the data are assumed to beâ€¦ (More)

â€“ In this paper we study critical points problems for some integral functionals with principal part having degenerate coerciveness, whose model is J (v) = 1 2 âˆ« |âˆ‡v|2 (b(x)+ |v|)2Î± âˆ’ 1 m âˆ« |v|m, v âˆˆHâ€¦ (More)

We prove the existence of a solution of the nonlinear elliptic equation: A (u) + g (x, u, Du) = h (x), where A is a Leray-Lions operator from into W -1 ~ pâ€™ (Q) and g is a nonlinear term withâ€¦ (More)

Diplopods belonging to the subclass Helminthomorpha may present one or both leg pairs of the seventh diplosegment modified into structures that aid copulation, called gonopods. These structures areâ€¦ (More)