This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...

The aim of this dissertation is to show a demonstration of a fundamental theorem for existence of isometric immersions for hypersurfaces in a warped product space where the base is a interval and the fiber is a spatial ...

In this work, we will present the coincident degree theory for Fredholm operators of index zero - denoted by L and defined on Banach spaces -, which is an important tool to obtain the existence of solutions for equations ...

We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we ...

In this work we developed an abstract theory for existence and characterization of attractors for multivalued semigroups defined by generalized semi ows and we apply the abstract results to systems of p-laplacian ...

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 ...

We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical ...

Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in [16], we completely characterize regularity and microregularity in Denjoy-Carleman (non quasi analytic) classes, which includes the ...

This work is about the upper semicontinuity of the family of global attractors associated to nonlinear reaction diffusion equations whose principal part is determined by maximal operator monotonous governed by degenerate ...

We study the problem: (2) _∂tup − Δpup = 0, (0,∞) × Rd up(0, x) = g(x), {t = 0} × Rd ∞ > p ≥ d+1, where the initial data up(0, x) = g(x) are Lipschitz continuous, non-negative and it have ...