Geodesic
Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 260-271

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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, fibering method, variational method, Hamiltonian system, Dirichlet problem.
Mots-clés : multiple solutions 
@article{MZM_2011_89_2_a8,
     author = {V. F. Lubyshev},
     title = {Existence of {Multiple} {Solutions} of {Higher-Order} {Nonlinear} {Elliptic} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {260--271},
     publisher = {mathdoc},
     volume = {89},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a8/}
}
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V. F. Lubyshev. Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 260-271. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a8/