63 citations · 152 across the 20 of their papers we have counts for
23 papers
A dichotomy result for a modified Schrödinger equations on unbounded domains
Anna Maria Candela, Giuliana Palmieri, Addolorata Salvatore
This article aims to investigate the existence of bounded positive solutions of problem \[ (P)\qquad \left\{ \begin{array}{ll} - {\rm div} (a(x,u,\nabla u)) + A_t(x,u,\nabla u) = g…
Existence results for a borderline case of a class of p-Laplacian problems
Anna Maria Candela, Kanishka Perera, Addolorata Salvatore
The aim of this paper is investigating the existence of at least one nontrivial bounded solution of the new asymptotically ``linear'' problem \[ \left\{ \begin{array}{ll} - {\rm di…
Chaos for generalized Black-Scholes equations
Anna Maria Candela, Gisèle Ruiz Goldstein, Jerome A. Goldstein +1
The Nobel Prize winning Black-Scholes equation for stock options and the heat equation can both be written in the form \[ \frac{\partial u}{\partial t}=P_2(A)u, \] where $P_2(z)=αz…
Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth
Anna Maria Candela, Caterina Sportelli
In this paper we consider the following coupled gradient-type quasilinear elliptic system \begin{equation*} \left\{ \begin{array}{ll} - {\rm div} ( a(x, u, \nabla u) ) + A_t (x, u,…
Bounded solutions for quasilinear modified Schrödinger equations
Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli
In this paper we establish a new existence result for the quasilinear elliptic problem \[ -{\rm div}(A(x,u)|\nabla u|^{p-2}\nabla u) +\frac1p A_t(x,u)|\nabla u|^p + V(x)|u|^{p-2} u…
Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type
Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient type \[ (P)\qquad \left\{ \begin{array}{ll…
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems
Anna Maria Candela, Caterina Sportelli
The aim of this paper is investigating the existence of weak bounded solutions of the gradient-type quasilinear elliptic system $$(P)\qquad \left\{ \begin{array}{ll} - {\rm div} (…
Multiple solutions for some symmetric supercritical problems
Anna Maria Candela, Giulina Palmieri, Addolorata Salvatore
The aim of this paper is investigating the existence of one or more critical points of a family of functionals which generalizes the model problem \[ \bar J(u)\ =\ \frac1p\ \int_Ω\…
Existence of radial bounded solutions for some quasilinear elliptic equations in R^N
Anna Maria Candela, Addolorata Salvatore
We study the quasilinear equation \[(P)\qquad - {\rm div} (A(x,u) |\nabla u|^{p-2} \nabla u) + \frac1p\ A_t(x,u) |\nabla u|^p + |u|^{p-2}u\ =\ g(x,u) \qquad \hbox{in ${\mathbb R}^N…
Quasilinear problems without the Ambrosetti-Rabinowitz condition
Anna Maria Candela, Genni Fragnelli, Dimitri Mugnai
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variat…
Bifurcation of critical points along gap-continuous families of subspaces
Anna Maria Candela, Nils Waterstraat
We consider the restriction of twice differentiable functionals on a Hilbert space to families of subspaces that vary continuously with respect to the gap metric. We study bifurcat…
Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
Rossella Bartolo, Anna Maria Candela, José Luis Flores
Given a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected b…
Multiple solutions for p-Laplacian type problems with asymptotically p-linear terms via a cohomological index theory
A. M. Candela, G. Palmieri, K. Perera
The aim of this paper is investigating the existence of weak solutions of the quasilinear elliptic model problem \[ \left\{\begin{array}{lr} - \divg (A(x,u)\, |\nabla u|^{p-2}\, \n…
Remarks on the completeness of trajectories of accelerated particles in Riemannian manifolds and plane waves
Anna Maria Candela, Alfonso Romero, Miguel Sánchez
Recently, classical results on completeness of trajectories of Hamiltonian systems obtained at the beginning of the seventies, have been revisited, improved and applied to Lorentzi…
Completeness of trajectories of relativistic particles under stationary magnetic fields
Anna Maria Candela, Alfonso Romero, Miguel Sánchez
The second order differential equation on a Lorentzian manifold describes, in particular, the dynamics of particles und…
Completeness of the Trajectories of Particles Coupled to a General Force Field
Anna Maria Candela, Alfonso Romero, Miguel Sánchez
We analyze the extendability of the solutions to a certain second order differential equation on a Riemannian manifold , which is defined by a general class of forces (both…
Remarks on global geodesic properties of Gödel type spacetimes
Rossella Bartolo, Anna Maria Candela, José Luis Flores
The aim of this paper is to review and complete the study of geodesics on Gödel type spacetimes initiated in [8] and improved in [2] of the References. In particular, we prove some…
Perturbed asymptotically linear problems
R. Bartolo, A. M. Candela, A. Salvatore
The aim of this paper is investigating the existence of solutions of some semilinear elliptic problems on open bounded domains when the nonlinearity is subcritical and asymptotical…
A note on geodesic connectedness of Gödel type spacetimes
R. Bartolo, A. M. Candela, J. L. Flores
In this note we reduce the problem of geodesic connectedness in a wide class of Gödel type spacetimes to the search of critical points of a functional naturally involved in the stu…
Normal geodesics connecting two non-necessarily spacelike submanifolds in a stationary spacetime
Rossella Bartolo, Anna Maria Candela, Erasmo Caponio
In this paper we obtain an existence theorem for normal geodesics joining two given submanifolds in a globally hyperbolic stationary spacetime. The proof is based on both variation…
Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
Anna Maria Candela, Jose' Luis Flores, Miguel Sanchez
In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are comm…
Geodesics in semi-Riemannian Manifolds: Geometric Properties and Variational Tools
Anna Maria Candela, Miguel Sánchez
Geodesics become an essential element of the geometry of a semi-Riemannian manifold. In fact, their differences and similarities with the (positive definite) Riemannian case, const…
On General Plane Fronted Waves. Geodesics
A. M. Candela, J. L. Flores, Miguel Sanchez
A general class of Lorentzian metrics, , , with any Riemannian manifold, is introduced in order to generalize classic…