期刊论文详细信息
Advances in Nonlinear Analysis | |
Existence results for nonlinear elliptic problems on fractal domains | |
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
【 预 览 】
Files | Size | Format | View |
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RO202107200000757ZK.pdf | 582KB | download |