Add to ORKGIn this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonlinearity in the attractive case. We give a sufficient condition and a necessary condition to obtain global or blowing up solutions. These conditions coincide in the critical case, thereby extending the results of Weinstein [26,27]. Furthermore, we improve a blow-up condition
AbstractIn this paper we give necessary and sufficient conditions for blow-up of solutions for a par...
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
AbstractUsing a variational approach we prove an optimal nonlinear convolution inequality. This resu...
In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonli...
International audienceIn this paper, we consider the nonlinear Schrödinger equation with the super c...
AbstractIn this paper, we mainly discuss the radial case for L2 critical nonlinear Schrödinger equat...
In this paper, we show that any solution of the nonlinear Schrödinger equation $iu_t+\Delta u\pm|u|^...
We study the large-time behavior of solutions for the inhomogeneous nonlinear Schrödinger equation i...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
AbstractIn this paper we consider the blow up phenomenon of critical nonlinear Schrödinger equations...
AbstractWe study a priori estimates of positive solutions of the equation ∂tu−Δu=λu+a(x)up, x∈Ω, t>0...
AbstractIn this work we consider nonlinear Volterra equations of a special type. We find necessary a...
AbstractIn this paper we give necessary and sufficient conditions for blow-up of solutions for a par...
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
AbstractUsing a variational approach we prove an optimal nonlinear convolution inequality. This resu...
In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonli...
International audienceIn this paper, we consider the nonlinear Schrödinger equation with the super c...
AbstractIn this paper, we mainly discuss the radial case for L2 critical nonlinear Schrödinger equat...
In this paper, we show that any solution of the nonlinear Schrödinger equation $iu_t+\Delta u\pm|u|^...
We study the large-time behavior of solutions for the inhomogeneous nonlinear Schrödinger equation i...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, w...
AbstractIn this paper we consider the blow up phenomenon of critical nonlinear Schrödinger equations...
AbstractWe study a priori estimates of positive solutions of the equation ∂tu−Δu=λu+a(x)up, x∈Ω, t>0...
AbstractIn this work we consider nonlinear Volterra equations of a special type. We find necessary a...
AbstractIn this paper we give necessary and sufficient conditions for blow-up of solutions for a par...
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
AbstractUsing a variational approach we prove an optimal nonlinear convolution inequality. This resu...