Triple nontrivial radial convex solutions of systems of Monge–Ampère equations

Triple nontrivial radial convex solutions of systems of Monge-Ampère 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.

Nontrivial Solutions of Quasilinear Equations in Bv

The existence of a nontrivial critical point is proved for a functional containing an area-type term. Techniques of nonsmooth critical point theory are applied.

Four nontrivial solutions for subcritical exponential equations

We show that a semilinear Dirichlet problem in bounded domains of R in presence of subcritical exponential nonlinearities has four nontrivial solutions near resonance. 2000AMS subject classification: 35J65, 35J20, 49J40

Existence of convex solutions for systems of Monge-Ampère equations