3 papers
math.AP2018
Existence and concentration phenomena for a class of indefinite variational problems with critical growth
Claudianor O. Alves, Geilson F. Germano
In this paper we are interested to prove the existence and concentration of ground state solution for the following class of problems $$ -Δu+V(x)u=A(εx)f(u), \quad x \in \R^{N}, \e…
math.AP2018
Existence of ground state solution and concentration of maxima for a class of indefinite variational problems
Claudianor O. Alves, Geilson F. Germano
In this paper we study the existence of ground state solution and concentration of maxima for a class of strongly indefinite problem like $$ \left\{\begin{array}{l} -Δu+V(x)u=A(εx)…
math.AP2017
Ground state solution for a class of indefinite variational problems with critical growth
Claudianor O. Alves, Geilson F. Germano
In this paper we study the existence of ground state solution for an indefinite variational problem of the type $$ \left\{\begin{array}{l} -Δu+(V(x)-W(x))u=f(x,u) \quad \mbox{in} \…