We give a simpler proof of the a priori estimates obtained by Durán et al. (2008, 2010) for solutions of elliptic problems in weighted Sobolev norms when the weights belong to the Muckenhoupt class Ap. The argument is a ...

We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions ...

In this work, we will show that for each H such that AH2 < 2 , where A represents the area of and = p5−1 2 , the Dirichlet problem (PD)H8> <> : div ru p1+|ru|2 = −2H em u = 0 em @ , is solvable, for ...

We study the problem -Δu=f, where f has a point-singularity. In particular, we are interested in f = δx0, a Dirac delta with support in x0, but singularities of the form f|x - x0|-s are also considered. We prove the stability ...

In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the ...