Risultati di esistenza, molteplicità e perturbazione dalla simmetria per problemi ellittici quasilineari associati a funzionali non regolari
Weak solutions to general Euler's equations via nonsmooth critical point theory
On phase segregation in nonlocal two-particle Hartree systems
We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.
Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations
Global solutions and finite time blow up for damped semilinear wave equations
Semiclassical states for weakly coupled nonlinear Schrödinger systems
We consider systems of weakly coupled Schrödinger equations with nonconstant potentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation.
Existence of multiple solutions for quasilinear diagonal elliptic systems.
An eigenvalue problem for elliptic systems.
On the existence of solutions to a fourth-order quasilinear resonant problem.
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Numerical computation of soliton dynamics for NLS equations in a driving potential.
Spatial patterns for the three species Gross-Pitaevskii system in the plane.
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30 By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type. The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear...
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