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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 260–271
DOI: https://doi.org/10.4213/mzm8935 (Mi mzm8935) 		 
Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations

V. F. Lubyshev

Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm8935
Abstract: We study the existence of multiple solutions for a class of even-order nonlinear elliptic equations with the Dirichlet boundary conditions. We also study the corresponding nonlinear Hamiltonian system of higher-order linear equations.
Keywords: higher-order elliptic equation, convex-concave nonlinearity, multiple solutions, fibering method, variational method, Hamiltonian system, Dirichlet problem.
Received: 29.09.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 255–265
DOI: https://doi.org/10.1134/S0001434611010317
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. F. Lubyshev, “Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations”, Mat. Zametki, 89:2 (2011), 260–271; Math. Notes, 89:2 (2011), 255–265
Citation in format AMSBIB
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