This paper investigates properties of certain nonlinear PDEs on fractal sets. With an
appropriately defined Laplacian, we obtain a number of results on the existence of non …

In this paper we prove a characterization theorem on the existence of one non-zero strong
solution for elliptic equations defined on the Sierpiński gasket. More generally, the validity of …

This paper concerns with a class of elliptic equations on fractal domains depending on a
real parameter. Our approach is based on variational methods. More precisely, the …

We study the nonlinear elliptic equation Δu (x)+ a (x) u (x)= g (x) f (u (x)) on the Sierpinski
gasket and with zero Dirichlet boundary condition. By extending a method introduced by …

We apply a recently obtained three-critical-point theorem of B. Ricceri to prove the existence
of at least three solutions of certain two-parameter Dirichlet problems defined on the …

Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term,
the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the …

Under an appropriate oscillating behavior either at zero or at infinity of the nonlinear data,
the existence of a sequence of weak solutions for parametric quasilinear systems of the …

The purpose of the paper is to point out that well-established methods to study the
multiplicity of solutions of nonlinear elliptic problems defined on open sets in Euclidean …

Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal
are proved. More precisely, a critical point result for differentiable functionals is exploited in …

There are treated nonlinear, elliptic, and parameter-depending problems, defined on the
Sierpinski gasket, a highly non-smooth fractal set. Even if the structure of this fractal differs …