A note about the problem of conformal deformation of metrics in the unit ball.
A note on a 3-dimensional stationary Schrödinger-Poisson system.
A note on a critical problem with natural growth in the gradient
The paper analyzes the influence on the meaning of natural growth in the gradient of a perturbation by a Hardy potential in some elliptic equations. Indeed, in the case of the Laplacian the natural problem becomes in , on , . This problem is a particular case of problem (2). Notice that is optimal as coefficient and exponent on the right hand side.
A note on a degenerate elliptic equation with applications for lakes and seas.
A note on a discrete form of Friedrichs' inequality
The proof of the Friedrichs' inequality on the class of finite dimensional spaces used in the finite element method is given. In particular, the approximate spaces generated by simplicial isoparametric elements are considered.
A note on a Liouville-type result for a system of fourth-order equations in .
A note on bounds for non-linear multivalued homogenized operators
In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.
A note on nodal non-radially symmetric solutions to Emden-Fowler equations.
A note on nonexistence of radial solutions to semilinear elliptic inequations.
We study the nonexistence result of radial solutions to -Δu + c u/(|x|2) + |x|σ|u|qu ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in RN, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|2) + |x|σ|u|qu = 0. In particular we prove that the latter has exactly one family of radial solutions.
A note on nonlinear elliptic systems involving measures.
A note on non-negative singular infinity-harmonic functions in the half-space.
In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|-1/3.
A Note on one dimensional symmetry in Carnot groups
In this Note we extend Gibbons conjecture to Carnot groups using the sliding method and the maximum principle in unbounded domains.
A note on quasilinear elliptic eigenvalue problems.
A Note on Regular Points for Solutions of Elliptic Systems.
A note on regular points for solutions of nonlinear elliptic systems
It is shown in this paper that gradient of vector valued function solution of a nonlinear elliptic system, cannot be too close to a straight line without being regular.
A note on regularity for nonlinear elliptic systems
The - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.
A note on Schrödinger operators with polynomial potentials
A note on strong resonance problems for -Laplacian.
A Note on the Approximation of Mildly Nonlinear Dirichlet Problems by Finite Differences.
A note on the bifurcation of solutions for an elliptic sublinear problem