On the First Eigenvalue of Non-Uniformly Elliptic Boundary Value Problems.
Neil S. Trudinger (1980)
Mathematische Zeitschrift
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Neil S. Trudinger (1980)
Mathematische Zeitschrift
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C.V. Coffman, M.M. Marcus, V.J. Mizel (1983)
Mathematische Zeitschrift
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Jan Bochenek (1989)
Annales Polonici Mathematici
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Peter Hess (1985)
Mathematische Annalen
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Jan Bochenek (1965)
Annales Polonici Mathematici
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Jan Bochenek (1985)
Annales Polonici Mathematici
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Peter Hess (1982)
Mathematische Zeitschrift
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Reinhard Mennicken, Mel Faierman (1991)
Manuscripta mathematica
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Fabricant, Alexander, Kutev, Nikolai, Rangelov, Tsviatko (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35J70, 35P15. The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.
Martínez, Sandra, Rossi, Julio D. (2002)
Abstract and Applied Analysis
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Roger D. Nussbaum (1984)
Mathematische Zeitschrift
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Eberhard, W., Freiling, G., Schneider, A. (1992)
International Journal of Mathematics and Mathematical Sciences
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Gong Bao Li (1987)
Revista Matemática Iberoamericana
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In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems -Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = ...