Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774433 | Journal of Mathematical Analysis and Applications | 2017 | 13 Pages |
Abstract
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 existence of at least two non-trivial weak (strong) solutions for the treated problem is obtained exploiting a local minimum theorem for differentiable functionals defined on reflexive Banach spaces. A special case of the main result improves a classical application of the Mountain Pass Theorem in the fractal setting, given by Falconer and Hu in [14].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Giovanni Molica Bisci, Dušan Repovš, Raffaella Servadei,