A numerically based investigation on the symmetry breaking and asymptotic behavior of the ground states to the -Hénon equation.
A perspective on the contributions of Alan C. Lazer to critical point theory.
A positive solution for an asymptotically linear elliptic problem on autonomous at infinity
In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be used in order...
A positive solution for an asymptotically linear elliptic problem on autonomous at infinity
In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be used in order...
A priori bounds and renormalized Morse indices of solutions of an elliptic system
A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation
The Witten deformation is an analytic method proposed by Witten which, given a Morse function on a smooth compact manifold , allows to prove the Morse inequalities. The aim of this article is to generalise the Witten deformation to stratified Morse functions (in the sense of stratified Morse theory as developed by Goresky and MacPherson) on a singular complex algebraic curve. In a previous article the author developed the Witten deformation for the model of an algebraic curve with cone-like singularities...
A remark on multiplicity of solutions for the Ginzburg-Landau equation
A result on the existence of critical points.
A saddle point theorem for non-smooth functionals and problems at resonance.
A sign-changing solution for a superlinear Dirichlet problem. II.
A splitting lemma for non-reflexive Banach spaces.
A stochastic characterization for harmonic morphisms.
A Sufflcient Condition for a Critical Point of a Functional to be a Minimum and Its Application to Plateau' s Problem.
A theorem on the escape from the space of hyperbolic polynomials.
A unified approach to min-max critical point theorems.
A Variational Approach to Bifurcation in Lp on an Unbounded Symmetrical Domain.
A version of Zhong's coercivity result for a general class of nonsmooth functionals.
A Weighted Eigenvalue Problems Driven by both -Harmonic and -Biharmonic Operators
The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both -Harmonic and -biharmonic operators is proved by applying a local minimization and the theory of the generalized Lebesgue-Sobolev spaces and .
Alcune applicazioni della Teoria di Morse a problemi di tipo ellittico
Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique