Some critical point theorems and applications to semilinear elliptic partial differential equations
Some estimates of solutions to Monge-Ampère type equations in dimension two
Some existence results for the scalar curvature problem via Morse theory
We prove existence of positive solutions for the equation on , arising in the prescribed scalar curvature problem. is the Laplace-Beltrami operator on , is the critical Sobolev exponent, and is a small parameter. The problem can be reduced to a finite dimensional study which is performed with Morse theory.
Some Liouville theorems for the -Laplacian.
Some maximum principles for solutions of a class of partial differential equations in .
Some new oscillation criteria for second order elliptic equations with damping
Some new oscillation criteria are obtained for second order elliptic differential equations with damping , x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.
Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
Some observations on the first eigenvalue of the -Laplacian and its connections with asymmetry.
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
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