Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials

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

Multiple Solutions of Superlinear Equations 99 2

— We give some multiplicity results on existence of nontrivial solutions for superlinear elliptic equations with a saddle structure near 0. We make use of a combination of bifurcation theory and minimax methods.

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.

Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations