Results 41 to 50 of about 12,436 (145)
Non-real eigenvalues of symmetric Sturm–Liouville problems with indefinite weight functions
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The present paper deals with non-real eigenvalues of regular Sturm–Liouville problems with odd symmetry indefinite weight functions applying the two-parameter method.
Bing Xie, huaqing Sun, Xinwei Guo
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Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
Mathematical Biosciences and Engineering, 2008 This paper is concerned with an indefinite weight linear eigenvalueproblem in cylindrical domains. We investigate the minimization of the positiveprincipal eigenvalue under the constraint that the weight is bounded bya positive and a negative constant ...
Chiu-Yen Kao, Yuan Lou, Eiji Yanagida
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Infinite semipositone problems with indefinite weight and asymptotically linear growth forcing-terms
Electronic Journal of Differential Equations, 2013 In this work, we study the existence of positive solutions to the singular problem $$displaylines{ -Delta_{p}u = lambda m(x)f(u)-u^{-alpha} quad hbox{in }Omega,cr u = 0 quad hbox{on }partial Omega, }$$ where $lambda$ is positive parameter, $Omega $
Ghasem A. Afrouzi, Saleh Shakeri
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Asymmetric elliptic problems in $R^N$
Electronic Journal of Differential Equations, 2006 We work on the whole $R^N$ and prove the existence of a first nonprincipal eigenvalue for an asymmetric problem with weights involving the p-Laplacian. As an application we obtain a first nontrivial curve in the corresponding Fucik spectrum.
Jean-Pierre Gossez, Liamidi Leadi
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On the existence of positive solutions for an ecological model with indefinite weight
Arab Journal of Mathematical Sciences, 2016 This study concerns the existence of positive solutions for the following nonlinear boundary value problem: {−Δu=am(x)u−bu2−cupup+1−Kin Ω,u=0on ∂Ω, where Δu=div(∇u) is the Laplacian of u, while a,b,c,p,K are positive constants with p≥2 and Ω is a ...
Saleh Shakeri +2 more
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Eigencurves of the p-Laplacian with weights and their asymptotic behavior
Electronic Journal of Differential Equations, 2007 In this paper we study the existence of the eigencurves of the p-Laplacian with indefinite weights. We obtain also their variational formulations and asymptotic behavior.
Mohammed Hadda, Ahmed Dakkak
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AIMS MathematicsExistence and multiplicity of three weak solutions for a Leray-Lions $ p(x) $-biharmonic problem involving Hardy potential and indefinite weight were proved. Our main tools combined variational methods and some critical theorems.
K. Kefi , Jian Liu
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Existence of positive solutions for semilinear elliptic systems with indefinite weight
Electronic Journal of Differential Equations, 2011 This article concerns the existence of positive solutions of semilinear elliptic system $$displaylines{ -Delta u=lambda a(x)f(v),quadhbox{in }Omega,cr -Delta v=lambda b(x)g(u),quadhbox{in }Omega,cr u=0=v,quad hbox{on } partialOmega, }$$ where ...
Ruipeng Chen
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Electronic Journal of Differential Equations, 2012 In this article, we establish the existence and non-existence of solutions for quasilinear equations with nonlinear boundary conditions and indefinite weight. Our proofs are based on variational methods and their geometrical features.
Guoqing Zhang +2 more
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On the spectrum of the p-Laplacian operator for Neumann eigenvalue problems with weights
Electronic Journal of Differential Equations, 2006 This paper is devoted to study the spectrum for a Neumann eigenvalue problem involving the p-Laplacian operator with weight in a bounded domain.
Siham El Habib, Najib Tsouli
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