Existence results for nonlinear elliptic problems on fractal domains

Ferrara, Massimiliano (author), Molica Bisci, Giovanni (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: Sierpiński gasket, nonlinear elliptic equation, Dirichlet form, weak Laplacian
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2016
• Number of pages: Str. 75-84
• Numbering: Vol. 5, iss. 1
• PID: 20.500.12556/RUL-111091
• UDC: 517.95
• ISSN on article: 2191-9496
• DOI: 10.1515/anona-2015-0105
• COBISS.SI-ID: 17460313
• Publication date in RUL: 23.09.2019

Record is a part of a journal

• Title: Advances in nonlinear analysis
• Publisher: De Gruyter
• ISSN: 2191-9496
• COBISS.SI-ID: 16253785