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Existence and Uniqueness Results

2014
This chapter deals with existence and uniqueness results for variational and quasi-variational inequalities. With the intention of focusing the differences among the proofs of results, we first consider elliptic variational inequalities of the first and second kind with linear and continuous operators in Hilbert space or monotone and hemicontinuous ...
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Recent Existence Results for Spectral Problems

2015
In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint, the most important being: $$ \min {\left\{ \lambda _k(\Omega )\;{:}\Omega \subset \mathbb {R}^N,\;|\Omega |=1\right\} }. $$ In particular we
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Existence results for pullback attractors

2012
In this chapter we develop the existence theory for pullback attractors in a way that recovers well known results for the global attractors of autonomous systems as a particular case (see, for example, Babin and Vishik 1992; Chepyzhov and Vishik 2002;Cholewa and Dlotko 2000; Chueshov 1999; Hale 1988; Ladyzhenskaya 1991; Robinson 2001; Temam 1988).
Alexandre N. Carvalho   +2 more
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Existence Results for Minimal Points

2014
In this chapter we establish several existence results for minimal points with respect to transitive relations; then we apply them in topological vector spaces for quasiorders generated by convex cones. We continue with the presentation of several types of convex cones and compactness notions with respect to cones.
Akhtar A. Khan   +2 more
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Global Existence Result for the Generalized Peterlin Viscoelastic Model

SIAM Journal on Mathematical Analysis, 2017
M. Lukáčová-Medvid’ová   +3 more
semanticscholar   +1 more source

Existence Theory: Main Results

2021
Eduard Feireisl, Antonin Novotný
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Existence results

2011
Tobias Colding, William Minicozzi
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