Some progress in conformal geometry.
Some properties of reachable solutions of nonlinear elliptic equations with measure data
Some Regularity Results for Quasilinear Elliptic Systems of Second Order.
Some regularity theorems in riemannian geometry
Some remarkable properties of -graphs.
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities.
Some remarks on Kato's inequality.
Some remarks on the regularity of minimizers of integrals with anisotropic growth
We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.
Some remarks on the regularity of weak solutions of degenerate elliptic systems.
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
Some results concerning the Poisson-Boltzmann equation
Some results on strongly nonlinear anisotropic differential equations
The paper concerns the existence of weak solutions to nonlinear elliptic equations of the form A(u) + g(x,u,∇u) = f, where A is an operator from an appropriate anisotropic function space to its dual and the right hand side term is in with 0 < m < 1. We assume a sign condition on the nonlinear term g, but no growth restrictions on u.
Some topological properties preserved by nearness between operators and applications to P.D.E.
Spatially heteroclinic solutions for a semilinear elliptic P.D.E.
This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Spatially heteroclinic solutions for a semilinear elliptic P.D.E.
This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires
Nello studio dei problemi del tipo , si impongono generalmente delle condizione sul comportamento asintotico di rispetto allo spettro di . Avendo in vista dei problemi quasilineari del tipo , sembra naturale introdurre una nozione di spettro per che tenga conto della dipendenza del membro di destra rispetto al gradiende . L'oggetto di questo lavoro è di definire, studiare e applicare questa nuova nozione di spettro.
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
For singularly perturbed Schrödinger equations with decaying potentials at infinity we construct semiclassical states of a critical frequency concentrating on spheres near zeroes of the potentials. The results generalize some recent work of Ambrosetti–Malchiodi–Ni [3] which gives solutions concentrating on spheres where the potential is positive. The solutions we obtain exhibit different behaviors from the ones given in [3].
Stability of solutions for an abstract Dirichlet problem
We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
Stability of travelling waves in a model for conical flames in two space dimensions
Stability results for some nonlinear elliptic equations involving the -laplacian with critical Sobolev growth