1,720,961 research outputs found
On a system involving a critically growing nonlinearity
No full textThis paper deals with the system
We prove existence and nonexistence results depending on the value of
Osservazioni sugli stimatori di massima verosimiglianza di una distribuzione Beta-Binomiale
No full textQuasilinear elliptic equations in R^N via variational methods and Orlicz-Sobolev embeddings
No full textIn this paper we prove the existence of a nontrivial non-negative radial solution for
the quasilinear elliptic problem
\begin{equation*}\label{eq}
\left\{
\begin{array}{ll}
-\n \cdot \left[\phi'(|\n u|^2)\n u \right] +|u|^{\a-2}u =|u|^{s-2} u, & x\in
\RN,
\\
u(x) \to 0 , \quad \hbox{as }|x|\to \infty,
\end{array}
\right.
\end{equation*}
where ,
behaves like for small and for large ,
, 1<\a\le p^* q'/p' and \max\{q,\a\}< s, being
and and the conjugate exponents, respectively, of and .
Our aim is to approach the problem variationally by using the tools
of critical points theory in an Orlicz-Sobolev space.
A multiplicity result is also given
Multiple critical points for a class of nonlinear functionals
No full textIn this paper, we prove a multiplicity result concerning the critical points of a class of functionals involving local and nonlocal nonlinearities. We apply our result to the nonlinear Schrödinger–Maxwell system in R3 and to the nonlinear elliptic Kirchhoff equation in RN assuming on the local nonlinearity the general hypotheses introduced by Berestycki and Lions
Quasilinear elliptic equations in R^N via variational methods and Orlicz-Sobolev embeddings
No full textIn this paper we prove the existence of a nontrivial non-negative radial solution for the quasilinear elliptic problem
\begin{equation*}
\left\{
\begin{array}{ll}
-\n \cdot \left[\phi'(|\n u|^2)\n u \right] +|u|^{\a-2}u =|u|^{s-2} u, & x\in
\RN,
\\
u(x) \to 0 , \quad \hbox{as }|x|\to \infty,
\end{array}
\right.
\end{equation*}
where , behaves like for small and for large , , 1<\a\le p^* q'/p' and \max\{q,\a\}< s, being
and and the conjugate exponents, respectively, of and .
Our aim is to approach the problem variationally by using the tools
of critical points theory in an Orlicz-Sobolev space.
A multiplicity result is also given
Generalized Schrodinger-Poisson type systems
No full textIn this paper we study the boundary value problem
\left\{
\begin{array}{ll}
-\Delta u+ \eps q\Phi f(u)=\eta|u|^{p-1}u & \text{in } \Omega, \\
- \Delta \Phi=2 qF(u)& \text{in } \Omega, \\
u=\Phi=0 & \text{on }\partial \Omega,
\end{array}
\right. where is a smooth bounded
domain, , is a
continuous function and is the primitive of such that
We provide existence and multiplicity results assuming on
a subcritical growth condition. The critical case is also
considered and existence and nonexistence results are proved
Dirichlet and Neumann Problems for Klein-Gordon-Maxwell systems
No full textThis paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely
electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
No full textIn this paper we prove the existence of a nontrivial solution to the nonlinear Schrödinger–Maxwell equations in R3, assuming
on the nonlinearity the general hypotheses introduced by Berestycki and Lions
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
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