On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.
Peter Hess (1985)
Mathematische Annalen
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Peter Hess (1985)
Mathematische Annalen
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Neil S. Trudinger (1980)
Mathematische Zeitschrift
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Ibrahim, S. F. M. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Peter Hess (1982)
Mathematische Zeitschrift
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C.V. Coffman, M.M. Marcus, V.J. Mizel (1983)
Mathematische Zeitschrift
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Jan Bochenek (1985)
Annales Polonici Mathematici
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Jan Bochenek (1965)
Annales Polonici Mathematici
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Roger D. Nussbaum (1984)
Mathematische Zeitschrift
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Reinhard Mennicken, Mel Faierman (1991)
Manuscripta mathematica
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W. Allegretto (1987)
Mathematische Zeitschrift
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Gossez, Jean-Pierre, Lami Dozo, Enrique (1982)
Portugaliae mathematica
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Peter Hess, Stefan Senn (1981)
Mathematische Annalen
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Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
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.