1,720,974 research outputs found
Multiplicity of Solutions on a Nehari Set in an Invariant Cone
No full textFor 1<2 and large, we prove the existence of two positive, nonconstant, radial and radially nondecreasing solutions of the supercritical equation
under Neumann boundary conditions, in the unit ball of .
We use a variational approach in an invariant cone. We distinguish the two solutions upon their energy: one is a ground state inside a Nehari-type subset of the cone, the other is obtained via a mountain pass argument inside the Nehari set.
As a byproduct of our proofs, we detect the limit profile of the low energy solution as and show that the constant solution 1 is a local minimizer on the Nehari set. This marks a strong difference with the case
Existence and non-existence results for a semilinear fractional Neumann problem
Full text linkWe establish a priori -estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-constant solutions under suitable assumptions on the diffusion coefficient and on the nonlinearity. Moreover, we prove an existence result for radial, radially non-decreasing solutions in the case of a possible supercritical nonlinearity, extending to the case $
Stability of eigenvalues for variable exponent problems
No full textIn the framework of variable exponent Sobolev spaces, we prove that the variational
eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg
norms are all stable under uniform convergence of the exponents
Quasilinear elliptic problems
No full textThe aim of this poster is to present a brief overview of the most significant results obtained in the last five years by the authors above
on the quasilinear elliptic theory
Asymptotics for a high-energy solution of a supercritical problem
Full text linkIn this paper we deal with the equation
for , under Neumann boundary conditions in the unit ball of
. We focus on the three positive, radial, and radially
non-decreasing solutions, whose existence for large is proved in [13]. We
detect the limit profile as of the higher energy solution and show
that, unlike the minimal energy one, it converges to the constant . The
proof requires several tools borrowed from the theory of minimization problems
and accurate a priori estimates of the solutions, which are of independent
interest.Comment: 14 pages, revised versio
Some evaluations of the fractional p-Laplace operator on radial functions
Full text linkWe face a rigidity problem for the fractional -Laplace operator to extend to this new framework some tools useful for the linear case. It is known that and are constant functions in for fixed and . We evaluated proving that it is not constant in for some and . This conclusion is obtained numerically thanks to the use of very accurate Gaussian numerical quadrature formulas
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Radial Positive Solutions for p-Laplacian Supercritical Neumann Problems
Full text linkThis paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, it involves a nonlinearity that can be supercritical in the sense of Sobolev embeddings. The main tools used are variational techniques and the shooting method for ODE's. These results are contained in A. Boscaggin, F. Colasuonno, B. Noris. Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions. ESAIM Control Optim. Calc. Var., DOI: 10.1051/cocv/2016064 (2017; F. Colasuonno, B. Noris. A p-Laplacian supercritical Neumann problem. Discrete Contin. Dyn. Syst., 37 (2017) 3025-3057
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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