On a class of continuous flow.
Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
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Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
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Yuhua Long, Baoling Zeng (2017)
Open Mathematics
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In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.
Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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de Vries, Jan, van der Woude, Jaap
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Paul R. Fallone, Jr. (1971)
Czechoslovak Mathematical Journal
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Saroop Kaul (1987)
Fundamenta Mathematicae
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Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...
Kolumban Hutter (1985)
Banach Center Publications
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