Existence results for nonlinear elliptic problems on fractal domains

Advances in Nonlinear Analysis

article

Massimiliano Ferrara¹  Giovanni Molica Bisci²  Dušan Repovš³ 

[1] University of Reggio Calabria and CRIOS University Bocconi of Milan;Department P.A.U., Architecture Faculty, University of Reggio Calabria;Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana

关键词: Sierpiński gasket;    nonlinear elliptic equation;    Dirichlet form;    weak Laplacian;   

DOI  :  10.1515/anona-2015-0105

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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 order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem admits at least one non-trivial weak solution.

【 授权许可】

CC BY