Existence result of entropy solution for some nonlinear parabolic problems under natural growths in Musielak spaces
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DOI: 10.1007/s11587-021-00591-3
Abstract: In this article, we deal with the existence result for nonlinear parabolic equations of the form $$\begin{aligned} \frac{\partial u}{\partial t}-{\text {div}}\>\mathcal {A}(x,t,u,\nabla u)-\hbox {div}\Phi (x,t,u)= f \quad \text {in }{\Omega _T=\Omega \times (0,T)}, \end{aligned}$$ with… read more here.
Keywords: existence result; nonlinear parabolic; entropy solution; result entropy ... See more keywords
An Existence Result of Positive Solutions for the Bending Elastic Beam Equations
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DOI: 10.3390/sym15020405
Abstract: This paper is concerned with the existence of positive solutions to the fourth-order boundary value problem u(4)(x)=f(x,u(x),u″(x)) on the interval [0, 1] with the boundary condition u(0)=u(1)=u″(0)=u″(1)=0, which models a statically bending elastic beam whose… read more here.
Keywords: elastic beam; existence result; bending elastic; positive solutions ... See more keywords