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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Displaying similar documents to “On Positive Solutions of a Linear Elliptic Eigenvalue Problem with Neumann Boundary Conditions.”
On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.
Two constant sign solutions for a nonhomogeneous Neumann boundary value problem
Liliana Klimczak (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.
The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition
Stefania Patrizi (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition
Stefania Patrizi (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
On Green's Function and Eigenvalues of Nonuniformly Elliptic Boundary Value Problems.
C.V. Coffman, M.M. Marcus, V.J. Mizel (1983)
Mathematische Zeitschrift
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Nonresonance Below the First Eigenvalue for a Semilinear Elliptic Problem.
Djuiro G. De Figueiredo, Jean-Pierre Gossez (1988)
Mathematische Annalen
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On the First Eigenvalue of Non-Uniformly Elliptic Boundary Value Problems.
Neil S. Trudinger (1980)
Mathematische Zeitschrift
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Fractals, trees and the Neumann Laplacian.
W.D. Evans, D.J. Harris (1993)
Mathematische Annalen
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On semilinear elliptic eigenvalue problem with eigenparameter in the boundary conditions.
Ibrahim, S. F. M. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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On some linear eigenvalue problems for strongly elliptic systems with an indefinite weight matrix function
Jan Bochenek (1989)
Annales Polonici Mathematici
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An Elliptic Neumann Problem with Subcritical Nonlinearity
Jan Chabrowski, Kyril Tintarev (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
Elliptic resonance problems with unequal limits at infinity.
Martin Schechter (1994)
Mathematische Annalen
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Positive Operators and Elliptic Eigenvalue Problems.
Roger D. Nussbaum (1984)
Mathematische Zeitschrift
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The Seventeen-Section of the Elliptic Function
G. Greenhill (1910)
Mathematische Annalen
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