scholarly journals Existence and multiplicity of weak solutions for gradient-type systems wıth oscillatory nonlinearities on the sierpinski gasket

2018 ◽  
Vol 48 (6) ◽  
Author(s):  
HAIFFA MUHSAN B. ALRIKABI ◽  
GHASEM A. AFROUZI ◽  
MOHSEN ALIMOHAMMADY
Keyword(s):  
Weak Solutions ◽  
Sierpinski Gasket ◽  
Type Systems ◽  
Sierpiński Gasket ◽  
Existence And Multiplicity ◽  
Gradient Type

Critical point approaches to Gradient-Type systems on the Sierpiński Gasket

2019 ◽  
Vol 9 (1) ◽  
pp. 314-331
Author(s):  
Fangfang Liao ◽  
◽  
Shapour Heidarkhani ◽  
Ghasem A. Afrouzi ◽  
Amjad Salari ◽  
...  
Keyword(s):  
Critical Point ◽  
Sierpinski Gasket ◽  
Type Systems ◽  
Sierpiński Gasket ◽  
Gradient Type

scholarly journals TWO NONTRIVIAL WEAK SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPIŃSKI GASKET

2011 ◽  
Vol 85 (3) ◽  
pp. 395-414 ◽  
Author(s):  
DENISA STANCU-DUMITRU
Keyword(s):  
Dirichlet Problem ◽  
Variational Principle ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Sierpinski Gasket ◽  
Point Theory ◽  
Sierpiński Gasket ◽  
Variational Techniques ◽  
Weak Laplacian

AbstractWe study a Dirichlet problem involving the weak Laplacian on the Sierpiński gasket, and we prove the existence of at least two distinct nontrivial weak solutions using Ekeland’s Variational Principle and standard tools in critical point theory combined with corresponding variational techniques.

BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN ON THE SIERPIŃSKI GASKET

Fractals ◽  
2018 ◽  
Vol 26 (01) ◽  
pp. 1850007 ◽  
Author(s):  
AMIT PRIYADARSHI ◽  
ABHILASH SAHU
Keyword(s):  
Boundary Value Problem ◽  
Weak Solutions ◽  
Boundary Value ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket

In this paper, we study the following boundary value problem involving the weak [Formula: see text]-Laplacian. [Formula: see text] [Formula: see text] where [Formula: see text] is the Sierpiński gasket in [Formula: see text], [Formula: see text] is its boundary, [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are bounded nonnegative functions. We will show the existence of at least two nontrivial weak solutions to the above problem for a certain range of [Formula: see text] using the analysis of fibering maps on suitable subsets.

scholarly journals Dimer Coverings on the Sierpinski Gasket

2008 ◽  
Vol 131 (4) ◽  
pp. 631-650 ◽  
Author(s):  
Shu-Chiuan Chang ◽  
Lung-Chi Chen
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket

scholarly journals Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

2021 ◽  
Vol 385 ◽  
pp. 107771
Author(s):  
Therese-Marie Landry ◽  
Michel L. Lapidus ◽  
Frédéric Latrémolière
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Spectral Triples

scholarly journals Existence and multiplicity of solutions for class of Navier boundary $p$-biharmonic problem near resonance

2014 ◽  
Vol 32 (2) ◽  
pp. 83 ◽  
Author(s):  
Mohammed Massar ◽  
EL Miloud Hssini ◽  
Najib Tsouli
Keyword(s):  
Saddle Point ◽  
Point Theorem ◽  
Elliptic Problem ◽  
Weak Solutions ◽  
Mountain Pass Theorem ◽  
Mountain Pass ◽  
Saddle Point Theorem ◽  
Biharmonic Problem ◽  
Existence And Multiplicity ◽  
Near Resonance

This paper studies the existence and multiplicity of weak solutions for the following elliptic problem\\$\Delta(\rho|\Delta u|^{p-2}\Delta u)=\lambda m(x)|u|^{p-2}u+f(x,u)+h(x)$ in $\Omega,$\\$u=\Delta u=0$ on $\partial\Omega.$By using Ekeland's variationalprinciple, Mountain pass theorem and saddle point theorem, theexistence and multiplicity of weak solutions are established.

scholarly journals Level sets of harmonic functions on the Sierpiński gasket

2002 ◽  
Vol 40 (2) ◽  
pp. 335-362 ◽  
Author(s):  
Anders Öberg ◽  
Robert S. Strichartz ◽  
Andrew Q. Yingst
Keyword(s):  
Level Sets ◽  
Harmonic Functions ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket
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