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BIBTEX RIS

Monotone operators and nonlinear biharmonic boundary value problems

1975; Mathematical Sciences Publishers; Volume: 60; Issue: 1 Linguagem: Inglês

10.2140/pjm.1975.60.39

ISSN

1945-5844

Autores

D. R. Dunninger, John Locker,

Tópico(s)

Differential Equations and Boundary Problems

Resumo

The nonlinear boundary value problem Lu + Nu = 0 is considered, where L is the biharmonic operator and N is a nonlinear monotone operator.By factoring the operator L as TT*, where T is the maximal operator associated with the Laplacian, the theory of monotone operators is utilized to obtain an existence and uniqueness theorem for the operator equation.Several examples are given to illustrate the applicability of the result.

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