Results 91 to 100 of about 159,057 (193)
Note on a Nonlinear Eigenvalue Problem
Rocky Mountain Journal of Mathematics, 1993 Consider the nonlinear eigenvalue problem \({d \over dx} (| u' |^{p-2}u')+ \lambda | u |^{p-2}u=0\). It is observed that the first positive eigenvalue \(\lambda_ p\) satisfies a conjugacy condition \(\lambda_ p^{1/p}=\lambda_ q^{1/p}\), \({1 \over p} + {1 \over q}=1\). Also the corresponding eigenfunctions are related.
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On a Nonlinear Elliptic Eigenvalue Problem
Journal of Differential Equations, 1995 The eigenvalue problem \(- \Delta u- \mu u= \lambda g(x, u)\) in \(D\), \(u= 0\) on \(\partial D\), with prescribed energy condition is considered. Multiplicity results are proved, based on Lyusternik-Schnirelman theory.
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Bulk-Edge Correspondence for Nonlinear Eigenvalue Problems
Physical Review Letters6 pages, 4 ...
Takuma Isobe +2 more
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Characterization of solutions to equations involving the p(x)-Laplace operator
Electronic Journal of Differential Equations, 2017 In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator.
Iulia Dorotheea Stircu +1 more
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Existence of solutions to a third-order multi-point problem on time scales
Electronic Journal of Differential Equations, 2007 We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales.
Joan Hoffacker, Douglas R. Anderson
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Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic Journal of Differential Equations, 2005 We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain
Teodora-Liliana Dinu
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Existence of solutions for an eigenvalue problem with weight
Electronic Journal of Differential Equations, 2010 In this work we study the existence of solutions for the nonlinear eigenvalue problem with p-biharmonic $ Delta_p^2 u =lambda m(x)|u|^{p-2}u$ in a smooth bounded domain under Neumann boundary conditions.
Abdel Rachid El Amrouss +2 more
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Properties of the first eigenvalue of a model for non Newtonian fluids
Electronic Journal of Differential Equations, 2010 We consider a nonlinear Stokes problem on a bounded domain. We prove the existence of the first eigenvalue which is given by a minimization formula. Some properties such as strict monotony and the Fredholm alternative are established.
Omar Chakrone +2 more
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Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales
Electronic Journal of Differential Equations, 2010 We study the existence of eigenvalue intervals for the third-order nonlinear three-point boundary value problem on time scales satisfying general boundary conditions.
Kapula R. Prasad +1 more
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