scholarly journals Dirichlet boundary value problem for equations describing flows of a nonlinear viscoelastic fluid in a bounded domain

2021 ◽  
Vol 13 (3) ◽  
pp. 17-26
Author(s):  
Mikhail Anatolievich Artemov ◽  
Yulia Nikolaevna Babkina
Keyword(s):  
Boundary Value Problem ◽  
Bounded Domain ◽  
Viscoelastic Fluid ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Dirichlet Boundary Value Problem ◽  
Nonlinear Viscoelastic

scholarly journals EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS

2012 ◽  
Vol 54 (3) ◽  
pp. 535-545
Author(s):  
X. ZHONG ◽  
W. ZOU
Keyword(s):  
Boundary Value Problem ◽  
Bounded Domain ◽  
Dirichlet Boundary ◽  
Smooth Boundary ◽  
Boundary Value ◽  
Elliptic Problems ◽  
Infinitely Many Solutions ◽  
Dirichlet Boundary Value Problem ◽  
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AbstractWe study the following nonlinear Dirichlet boundary value problem: where Ω is a bounded domain in ℝN(N ≥ 2) with a smooth boundary ∂Ω and g ∈ C(Ω × ℝ) is a function satisfying $\displaystyle \underset{|t|\rightarrow 0}{\lim}\frac{g(x, t)}{t}= \infty$ for all x ∈ Ω. Under appropriate assumptions, we prove the existence of infinitely many solutions when g(x, t) is not odd in t.

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