Some applications of minimax and topological degree to the study of the Dirichlet problem for elliptic partial differential equations
Leszek Gęba ; Tadeusz Pruszko
Annales Polonici Mathematici, Tome 55 (1991), p. 49-61 / Harvested from The Polish Digital Mathematics Library
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This paper treats nonlinear elliptic boundary value problems of the form (1) L[u] = p(x,u) in Ω⊂ℝn, u=Du=...=Dm-1u on ∂Ω in the Sobolev space W0m,2(Ω), where L is any selfadjoint strongly elliptic linear differential operator of order 2m. Using both topological degree arguments and minimax methods we obtain existence and multiplicity results for the above problem.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262472 
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     year = {1991},
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Leszek Gęba; Tadeusz Pruszko. Some applications of minimax and topological degree to the study of the Dirichlet problem for elliptic partial differential equations. Annales Polonici Mathematici, Tome 55 (1991) pp. 49-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z1p49bwm/

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