On the mountain pass solutions to boundary value problems on the Sierpinski gasket

DOI10.1007/s00025-019-1092-xzbMath1423.35374OpenAlexW2971278937MaRDI QIDQ2275305

Marek Galewski

Publication date: 2 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1092-x

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Linking methods for componentwise variational systems ⋮ A variational approach to the problem of continuous dependence of solutions to second order periodic system ⋮ On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket
• On the dependence on parameters for mountain pass solutions of second-order discrete BVP's
• Existence of solution to boundary value problem for impulsive differential equations
• On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket
• Constructive proof for existence of nonlinear two-point boundary value problems
• Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters
• Semilinear PDEs on self-similar fractals
• Minimax theorems
• Nonlinear elliptical equations on the Sierpiński gasket
• Nonlinear problems on the Sierpiński gasket
• INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
• Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
• A characterization for elliptic problems on fractal sets