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 Trudy Mat. Inst. Steklova, 2001, Volume 232, Pages 156–163 (Mi tm210)

On a Procedure of Projective Fibering of Functionals on Banach Spaces

Ya. Sh. Il'yasov

Abstract: A procedure for explicitly constructing multiple minimization variational problems with additional constraints is substantiated for functionals defined on Banach spaces. This procedure is based on the generalization of Pohozaev's fibering method.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2001, 232, 150–156

Bibliographic databases:
UDC: 517.95

Citation: Ya. Sh. Il'yasov, “On a Procedure of Projective Fibering of Functionals on Banach Spaces”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 156–163; Proc. Steklov Inst. Math., 232 (2001), 150–156

Citation in format AMSBIB
\Bibitem{Ily01} \by Ya.~Sh.~Il'yasov \paper On a~Procedure of Projective Fibering of Functionals on Banach Spaces \inbook Function spaces, harmonic analysis, and differential equations \bookinfo Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii \serial Trudy Mat. Inst. Steklova \yr 2001 \vol 232 \pages 156--163 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm210} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1851446} \zmath{https://zbmath.org/?q=an:1032.46095} \transl \jour Proc. Steklov Inst. Math. \yr 2001 \vol 232 \pages 150--156 

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This publication is cited in the following articles:
1. Il'yasov Y.S., “The Pokhozhaev identity and the fibering method”, Differential Equations, 38:10 (2002), 1453–1459
2. Il'yasov Y., “On nonlocal existence results for elliptic equations with convex–concave nonlinearities”, Nonlinear Analysis–Theory Methods & Applications, 61:1–2 (2005), 211–236
3. Il'yasov Y., Runst T., “On nonlocal calculation for inhomogeneous indefinite Neumann boundary value problems”, Calculus of Variations and Partial Differential Equations, 22:1 (2005), 101–127
4. V. E. Bobkov, “On existence of nodal solution to elliptic equations with convex-concave nonlinearities”, Ufa Math. J., 5:2 (2013), 18–30
5. Bobkov V.E., “on the Existence of a Continuous Branch of Nodal Solutions of Elliptic Equations With Convex-Concave Nonlinearities”, Differ. Equ., 50:6 (2014), 765–776
6. Ilyasov Ya., “On Extreme Values of Nehari Manifold Method Via Nonlinear Rayleigh'S Quotient”, Topol. Methods Nonlinear Anal., 49:2 (2017), 683–714
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