Add to ORKGWe study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schr\"odinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction
We consider the semi-relativistic Hartree type equation with nonlocal nonlinearity $F(u) = \lambda (...
An operatorial based approach is used here to prove the existence and uniqueness of a strong solutio...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
Consider nonlinear Schrödinger equations with small nonlinearities ddt/u+i(−△u+V(x)u)=ϵP(△u,∇u,u,x),...
International audienceIn this paper, we consider global solutions of the following nonlinear Schrödi...
We study the Cauchy–Dirichlet problem for the p(x)-Laplacian equation with a regular finite nonlinea...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractIn this paper we consider the following nonlinear wave equation (1)utt−Bt,‖ux‖2uxx=f(x,t,u,u...
The paper is devoted to the study of the Cauchy-type problem for the differential equation involving...
AbstractIn this paper we consider the existence of two positive solutions of the elliptic equation o...
AbstractThis paper is devoted to studying a class of solutions to the nonlinear Boltzmann equation h...
AbstractWe study the initial–boundary value problem of the viscous diffusion equations which include...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
This paper is concerned with the existence of a nonnegative ground state solution of the following q...
AbstractNonnegative solutions are established for nonlinear integral equations where the nonlinearit...
We consider the semi-relativistic Hartree type equation with nonlocal nonlinearity $F(u) = \lambda (...
An operatorial based approach is used here to prove the existence and uniqueness of a strong solutio...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
Consider nonlinear Schrödinger equations with small nonlinearities ddt/u+i(−△u+V(x)u)=ϵP(△u,∇u,u,x),...
International audienceIn this paper, we consider global solutions of the following nonlinear Schrödi...
We study the Cauchy–Dirichlet problem for the p(x)-Laplacian equation with a regular finite nonlinea...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractIn this paper we consider the following nonlinear wave equation (1)utt−Bt,‖ux‖2uxx=f(x,t,u,u...
The paper is devoted to the study of the Cauchy-type problem for the differential equation involving...
AbstractIn this paper we consider the existence of two positive solutions of the elliptic equation o...
AbstractThis paper is devoted to studying a class of solutions to the nonlinear Boltzmann equation h...
AbstractWe study the initial–boundary value problem of the viscous diffusion equations which include...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
This paper is concerned with the existence of a nonnegative ground state solution of the following q...
AbstractNonnegative solutions are established for nonlinear integral equations where the nonlinearit...
We consider the semi-relativistic Hartree type equation with nonlocal nonlinearity $F(u) = \lambda (...
An operatorial based approach is used here to prove the existence and uniqueness of a strong solutio...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...