Multiple Finite Energy Solutions of Critical Semilinear Field Equations

Multiple Nontrivial Solutions of Elliptic Semilinear Equations

We find multiple solutions for semilinear boundary value problems when the corresponding functional exhibits local splitting at zero.

Finite Energy Superluminal Solutions of Maxwell Equations

We exhibit exact finite energy superluminal solutions of Maxwell equations in vacuum. e-mail: [email protected] e-mail: [email protected] or [email protected] 1 Recently, some papers [1,2] appeared in the literature showing that in some hypotetical media there is the possibility for the existence of superluminal electromagnetic pulses (solutions of Maxwell equations) such their fronts tr...

Computation of radial solutions of semilinear equations

We express radial solutions of semilinear elliptic equations on Rn as convergent power series in r, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem. Using a similar approach we have discovered existence of singular solutions for a class of subcritical problems. We prove convergence of the power series by modifying the classical method of...

Boundedness of solutions for semilinear duffing equations

On approximate solutions of semilinear evolution equations

A general framework is presented to discuss the approximate solutions of an evolution equation in a Banach space, with a linear part generating a semigroup and a sufficiently smooth nonlinear part. A theorem is presented, allowing to infer from an approximate solution the existence of an exact solution. According to this theorem, the interval of existence of the exact solution and the distance ...