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Upper and Lower Critical Solution Temperatures in Polystyrene Solutions. II
Macromolecules, 1973Abstract Upper and lower critical solution temperatures have been determined for solutions of polyethylene in n-butyl acetate and n-amyl acetate over the molecular weight range of M η = 1·36 × 10 4 to 17·5 × 10 4 . Polyethylene solution in n-butyl acetate displays a smaller miscibility region than that of the polyethylene/n-amyl acetate system,
N. Kuwahara +3 more
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Remarks on variational methods and lower-upper solutions
NoDEA : Nonlinear Differential Equations and Applications, 1999The authors consider the following class of equations \[ \begin{cases} -\Delta u(x)= f\bigl(x,u(x) \bigr),\quad x\in\Omega,\\ u=0\text{ on }\partial \Omega,\end{cases} \tag{1} \] where \(\Omega\subset\mathbb{R}^N\) is a bounded smooth domain. Letting \(F(x,t)=\int^t_0 f(x,s)ds\), the energy functional associated to (1) is defined by the formula \[ J(u)=
CONTI, MONICA, MERIZZI L, TERRACINI S.
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Second Order Problems and Lower and Upper Solutions
2021This chapter is devoted to the study of second-order boundary value problems and second-order problems on unbounded domains. First, we prove existence of Caratheodory solutions between a pair of well-ordered lower and upper solutions and, moreover, we give additional conditions in order to guarantee the existence of extremal solutions.
Rubén Figueroa Sestelo +2 more
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SHARP UPPER AND LOWER SOLUTIONS IN SOME PARABOLIC PROBLEMS
Numerical Functional Analysis and Optimization, 2002ABSTRACT In this paper we construct upper and lower solutions for a class of parabolic initial-boundary value problems in terms of the solution of the St-Venant problem and first eigenvalue problem. These bounds are sharp in the sense that they coincide with the exact solution in particular situations.
MARRAS, MONICA, PIRO, STELLA
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Upper and lower solutions for periodic problems
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lower and upper critical solution temperatures of binary polymeric solutions
Fluid Phase Equilibria, 2016Abstract The phase behavior of binary polymeric solutions such as lower and upper critical solution temperatures has an important role in many polymeric processes. For theoretical investigation on the prediction of these temperatures, a substantial number of data points on binary polymeric solutions were collected from literature and used to present ...
Ayoub Ejraei +4 more
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Positive Solutions of the Fractional Relaxation Equation Using Lower and Upper Solutions
Vietnam Journal of Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chidouh, Amar +2 more
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