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Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains. (English) Zbl 0492.35015


MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
47H05 Monotone operators and generalizations
35J65 Nonlinear boundary value problems for linear elliptic equations
47F05 General theory of partial differential operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Full Text: DOI

References:

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[4] Browder, F. E., Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains, (Proc. Nat. Acad. Sci. USA, 74 (1977)), 2659-2661 · Zbl 0358.35034
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[12] Landes, R.; Mustonen, V., On pseudo-monotone operators and nonlinear noncoercive variational problems on unbounded domains, Math. Ann., 248, 241-246 (1980) · Zbl 0416.35072
[13] Leray, J.; Lions, J.-L, Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France, 93, 97-107 (1965) · Zbl 0132.10502
[14] Mustonen, V., An elliptic boundary value problem for strongly nonlinear equations in unbounded domains, (Proc. Royal Soc. Edinburgh, 76 (1977)), 217-230 · Zbl 0391.35032
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