Add to ORKGAbstract. 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 our result can be checked studying ellip-tic equations defined on self-similar fractal domains whose spectral dimension ν ∈ (0, 2). Our theorem can be viewed as an elliptic version on fractal domains of a recent contribution obtained in a recent work of Ricceri for a two-point boundary value problem. 1
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the ...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
A Laplacian may be defined on self-similar fractal domains in terms of a suitable self-similar Diric...
In this paper we prove a characterization theorem on the existence of one non-zero strong solution f...
This paper investigates properties of certain nonlinear PDEs on fractal sets. With an appropriately ...
This paper concerns with a class of elliptic equations on fractal domains depending on a real parame...
This paper concerns with a class of elliptic equations on fractal domains depending on a real parame...
Some existence results for a parametric Dirichlet problem defined on the Sierpinski fractal are prov...
AbstractThis paper investigates properties of certain nonlinear PDEs on fractal sets. With an approp...
Abstract. Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear ...
AbstractKigami has defined an analog of the Laplacian on a class of self-similar fractals, including...
Kigami has defined an analog of the Laplacian on a class of self-similar fractals, including the fam...
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the ...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
A Laplacian may be defined on self-similar fractal domains in terms of a suitable self-similar Diric...
In this paper we prove a characterization theorem on the existence of one non-zero strong solution f...
This paper investigates properties of certain nonlinear PDEs on fractal sets. With an appropriately ...
This paper concerns with a class of elliptic equations on fractal domains depending on a real parame...
This paper concerns with a class of elliptic equations on fractal domains depending on a real parame...
Some existence results for a parametric Dirichlet problem defined on the Sierpinski fractal are prov...
AbstractThis paper investigates properties of certain nonlinear PDEs on fractal sets. With an approp...
Abstract. Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear ...
AbstractKigami has defined an analog of the Laplacian on a class of self-similar fractals, including...
Kigami has defined an analog of the Laplacian on a class of self-similar fractals, including the fam...
Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the ...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
A Laplacian may be defined on self-similar fractal domains in terms of a suitable self-similar Diric...