9,224 research outputs found
Multiple positive solutions for a Schr\"odinger-Poisson-Slater system
In this paper we investigate the existence of positive solutions to the
following Schr\"odinger-Poisson-Slater system [c]{ll} - \Delta u+ u +
\lambda\phi u=|u|^{p-2}u & \text{in} \Omega -\Delta\phi= u^{2} & \text{in}
\Omega u=\phi=0 & \text{on} \partial\Omega. where is a bounded domain
in is a fixed positive parameter and
. We prove that if is "near" the critical Sobolev
exponent , then the number of positive solutions is greater then the
Ljusternik-Schnirelmann category of .Comment: added references and improved the resul
Facebook Group in ACC 202
ACC 202 has three sections of 100-120 students in each section each semester.https://digitalscholarship.unlv.edu/btp_expo/1018/thumbnail.jp
Research spotlight : Influential chairmen
Banks and banking, Central ; Financial markets ; Monetary policy ; Federal Reserve banks
Lie Properties of Restricted Enveloping Algebras
Let L be a restricted Lie algebra over a field of positive characteristic. We
survey the known results about the Lie structure of the restricted enveloping
algebra u(L) of L. Related results about the structure of the group of units
and the symmetric and skew-symmetric elements of u(L) are also discussed.
Moreover, a new theorem about an upper bound for the Lie nilpotency class of
u(L) is proved
Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries
In this paper we construct infinite families of non-linear maximum rank
distance codes by using the setting of bilinear forms of a finite vector space.
We also give a geometric description of such codes by using the cyclic model
for the field reduction of finite geometries and we show that these families
contain the non-linear maximum rank distance codes recently provided by
Cossidente, Marino and Pavese.Comment: submitted; 22 page
Existence of ground states for a modified nonlinear Schrodinger equation
In this paper we prove existence of ground state solutions of the modified
nonlinear Schrodinger equation: under some hypotheses on .
This model has been proposed in the theory of superfluid films in plasma
physics. As a main novelty with respect to some previous results, we are able
to deal with exponents . The proof is accomplished by minimization
under a convenient constraint
- …