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Search Results: 1 - 10 of 32231 matches for " Antonio Azzollini "
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A multiplicity result for the problem $δd ξ= f'(<ξ,ξ>)ξ$
Antonio Azzollini
Mathematics , 2007,
Abstract: In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold $\delta d \xi = f'(<\xi,\xi>)\xi$. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci and Fortunato. We obtain a multiplicity result both in the positive mass case (i.e. $f'(t)\geq\epsilon>0$ uniformly) and in the zero mass case ($f'(t)\geq 0$ and $f'(0)=0$) where a strong convexity hypothesis on the nonlinearity is assumed.
Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearity
Antonio Azzollini
Mathematics , 2009,
Abstract: In this paper we use a concentration and compactness argument to prove the existence of a nontrivial nonradial solution to the nonlinear Schrodinger-Poisson equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions
A note on the elliptic Kirchhoff equation in R^N perturbed by a local nonlinearity
Antonio Azzollini
Mathematics , 2013,
Abstract: In this note we complete the study made in a previous paper on a Kirchhoff type equation with a Berestycki-Lions nonlinearity. We also correct Theorem 0.6 inside.
A multiplicity result for the nonlinear Klein Gordon Maxwell equations
Antonio Azzollini
Mathematics , 2014,
Abstract: In this paper we provide a new technique to find solutions to the Klein-Gordon-Maxwell system. The method, based on an iterative argument, permits to improve previous results where the reduction method was used. We also show how this device permits to obtain a multiplicity result in the physically significant context known as "the positive potential case".
On a functional satisfying a weak Palais-Smale condition
Antonio Azzollini
Mathematics , 2013,
Abstract: In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition. An existence result is proved under general assumptions on the nonlinearities.
A multiplicity result for a semilinear Maxwell type equation
Antonio Azzollini
Mathematics , 2006,
Abstract: In this paper we look for solutions of a semilinear Maxwell type equation, in even dimension, greater than four. These solutions are critical points of a functional which is strongly degenerate because of the presence of the exterior derivative. We prove that, assuming a suitable convexity condition on the nonlinearity, the equation possesses infinitely many finite energy solutions.
The elliptic Kirchhoff equation in $\R^N$ perturbed by a local nonlinearity
Antonio Azzollini
Mathematics , 2010,
Abstract: In this paper we present a very simple proof of the existence of at least one non trivial solution for a Kirchhoff type equation on $\RN$, for $N\ge 3$. In particular, in the first part of the paper we are interested in studying the existence of a positive solution to the elliptic Kirchhoff equation under the effect of a nonlinearity satisfying the general Berestycki-Lions assumptions. In the second part we look for ground states using minimizing arguments on a suitable natural constraint.
Ground state solution for a problem with mean curvature operator in Minkowski space
Antonio Azzollini
Mathematics , 2013,
Abstract: In this paper we prove the existence of a radial ground state solution for a quasilinear problem involving the mean curvature operator in Minkowski space.
On a prescribed mean curvature equation in Lorentz-Minkowski space
Antonio Azzollini
Mathematics , 2015,
Abstract: We are interested in providing new results on a prescribed mean curvature equation in Lorentz-Minkowski space set in the whole R^N, with N >2. We study both existence and multiplicity of radial ground state solutions for p>1, emphasizing the fundamental difference between the subcritical and the supercritical case. We also study speed decay at infinity of ground states, and give some decay estimates. Finally we provide a multiplicity result on the existence of sign-changing bound state solutions for any p>1.
On a "zero mass" nonlinear Schrodinger equation
Antonio Azzollini,Alessio Pomponio
Mathematics , 2006,
Abstract: We look for positive solutions to the nonlinear Schrodinger equation with a potential, under the hypothesis of zero mass on the nonlinearity, in a particular situation. Existence and multiplicity results are provided.
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