Results 271 to 280 of about 8,272,044 (305)
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Existence and Uniqueness Results
1990In this chapter the existence of the Nash-Cournot equilibrium point in the multiproduct oligopoly game will be first investigated. Then on the basis of the general results special cases will be examined. These include models with product differentiation and the classical Cournot model.
Koji Okuguchi, Ferenc Szidarovszky
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Some existence and non‐existence results for a homogeneous quasilinear problem
Asymptotic Analysis, 1998The authors study criteria for existence and nonexistence of positive solutions to the quasilinear equation \[ -(r^{\alpha}|u'(r)|^{\beta-1}u'(r))' = r^{\gamma}F(r,u), \quad r>0, \tag{*} \] where \(\alpha\), \(\beta\), \(\gamma\) are positive parameters and \(F\geq 0\).
MITIDIERI, ENZO +2 more
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1997
In this chapter we present existence results that do not use the bounded variation technique. In particular, we shall provide a modern proof of the Folklore Theorem which established the existence of absolutely continuous invariant measure for Markov transformations. Inspired by number theoretical questions Renyi [1957] proved the first version of this
Abraham Boyarsky, Paweł Góra
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In this chapter we present existence results that do not use the bounded variation technique. In particular, we shall provide a modern proof of the Folklore Theorem which established the existence of absolutely continuous invariant measure for Markov transformations. Inspired by number theoretical questions Renyi [1957] proved the first version of this
Abraham Boyarsky, Paweł Góra
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Comparison of Existence Results for Efficient Points
Journal of Optimization Theory and Applications, 2000The paper develops a classification of most known existence results for efficient points that is based on general existence results for maximal elements with respect to transitive relations. By associating a reflexive and transitive relation with a convex cone, existence results for maximal points with respect to general transitive relations are ...
Sonntag, Y., Zălinescu, C.
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1990
Abstract In this chapter we return at last to address some of the problems in fourmanifold topology which were raised in Chapter 1. We will prove Theorems (1.3.1) and (1.3.2) on the non-existence of manifolds with certain intersection forms. Throughout the chapter, the strategy of proof of these non-existence results will be the same.
S k. Donaldson, P B Kronheimer
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Abstract In this chapter we return at last to address some of the problems in fourmanifold topology which were raised in Chapter 1. We will prove Theorems (1.3.1) and (1.3.2) on the non-existence of manifolds with certain intersection forms. Throughout the chapter, the strategy of proof of these non-existence results will be the same.
S k. Donaldson, P B Kronheimer
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Existence results for perturbations of the p-Laplacian
Nonlinear Analysis: Theory, Methods & Applications, 1995The existence of solutions to the problem \[ - \Delta_ pu \equiv - \text{div} \bigl( | \nabla u |^{p-2} \nabla u \bigr) = f(x,u)\;\text{ in } \Omega, \quad u = 0 \text{ on } \partial \Omega \] is studied. Here \(\Omega\) is a bounded domain in \(\mathbb{R}^ N\), \(f\) is a Carathéodory function with a subcritical growth. A class of abstract functionals
Costa, David G., Magalhães, Celius A.
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Equilibrium Problems: Existence Results and Applications
Set-Valued and Variational Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cotrina, John, García, Yboon
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Existence and Multiplicity Results for Kirchhoff Problems
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mao, Anmin, Zhu, Xincai
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Existence and Uniqueness Results
2014This 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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Magnetohydrodynamic turbulent flows: Existence results
Physica D: Nonlinear Phenomena, 2010The stochastic magnetohydrodynamics is studied. This branch of the theory is known to describe the turbulent motion of the fluid particles in a magnetic field. Especially the existence of solutions to the equations are investigated in detail. A sufficiently general forcing is considered which consist a regular part and a stochastic part and both depend
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