Results 181 to 190 of about 412 (197)

Regularity of the Optimal Sets for a Class of Integral Shape Functionals. [PDF]

open access: yesArch Ration Mech Anal
Buttazzo G   +4 more
europepmc   +1 more source

Subsolutions for abstract evolution equations

Potential Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barthélémy, Louise, Bénilan, Philippe
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Convexity and Subsolutions of Partial Differential Equations

Bulletin of the London Mathematical Society, 1986
It is well known that a convex increasing function composed with a subharmonic function yields another subharmonic function. This note presents an elementary, yet apparently new, argument in the context of harmonic spaces which produces a substantially more general theorem.
Gardiner, S. J., Klimek, M.
openaire   +2 more sources

Subsolution–supersolution method in variational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2001
The subsolution-supersolution method for equations is extended to a class of elliptic variational inequalities of the type \[ \int_\Omega A(x,\nabla u) \cdot(\nabla v-\nabla u)\;dx\geq \int_\Omega F(x,u)(v-u)\;dx \] \(\forall v\in K, \;K\subset W^{1,p}(\Omega),\) closed convex. Under additional assumptions on \(K\), the author proves the existence of a
openaire   +1 more source

Subsolutions and the Supercore of Cooperative Games

Mathematics of Operations Research, 1976
A generalization of the von Neumann-Morgenstern solution, called a subsolution, is introduced. Subsolulions exist for all games (in a nontrival way for games with a nonempty core), and can be interpreted as “standards of behavior.” A unique, distinguished subsolution called the supercore is also identified; it is the intersection of all subsolutions.
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Subsolutions of shape functionals

2015
In this chapter we consider domains (quasi-open or measurable sets) Ω ⊂ ℝ d , which are optimal for a given functional ℱ only with respect to internal perturbations, i.e.
openaire   +1 more source

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