Existence results for general inequality problems with constraints.
Dincă, George, Jebelean, Petru, Motreanu, Dumitru (2003)
Abstract and Applied Analysis
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Dincă, George, Jebelean, Petru, Motreanu, Dumitru (2003)
Abstract and Applied Analysis
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Corvellec, J. (1996)
Serdica Mathematical Journal
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The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1]...
Motreanu, D., Motreanu, V.V., Paşca, D. (2002)
Abstract and Applied Analysis
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Ume, Jeong Sheok (2002)
International Journal of Mathematics and Mathematical Sciences
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Fixed Point Theory and Applications [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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Janusz Matkowski, Małgorzata Wróbel (2012)
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We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function.
Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)
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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.