On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket
type: Item
instance of: scholarly article
title: On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket
zbMATH Open document ID: 1195.35121
author: Brigitte E. Breckner
author: Csaba Varga
author: Dušan Repovš
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-09-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1602.06092
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 5782223
zbMATH Keywords: Sierpiński gasket
zbMATH Keywords: weak Laplacian
zbMATH Keywords: Dirichlet problem on the Sierpiński gasket
zbMATH Keywords: weak solution
zbMATH Keywords: critical point
zbMATH Keywords: minimax theorems
zbMATH Keywords: mountain pass theorems
MaRDI profile type: Publication
OpenAlex ID: W2024474513
arXiv ID: 1602.06092
cites work: On a three critical points theorem
cites work: A three critical points theorem revisited
cites work: A nondifferentiable extension of a theorem of Pucci and Serrin and applications
cites work: Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
cites work: On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems
cites work: A further three critical points theorem
cites work: INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
cites work: Semilinear PDEs on self-similar fractals
cites work: Nonlinear elliptical equations on the Sierpiński gasket
cites work: Multiple solutions for a class of nonlinear elliptic equations on the Sierpiński gasket
cites work: Semilinear elliptic equations on fractal sets
cites work: Solvability for differential equations on fractals
cites work: Multiple nonnegative solutions for an elliptic boundary value problem involving combined nonlinearities
cites work: Q3588157
cites work: Q5491075
cites work: Q4431283
cites work: Harmonization and homogenization on fractals
cites work: Q3995594
cites work: Q3706043
cites work: Q3749777
cites work: A mountain pass theorem
DOI: 10.1016/J.NA.2010.06.064
description: scientific article