Results 41 to 50 of about 129,456 (180)
Nonlinear eigenvalue problems with semipositone structure
Electronic Journal of Differential Equations, 2000 In this paper we summarize the developments of semipositone problems to date, including very recent results on semipositone systems. We also discuss applications and open problems.
Alfonso Castro, C. Maya, R. Shivaji
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Interval Nonlinear Eigenvalue Problems [PDF]
, 2013 Nonlinear eigenvalue Problems are currently receiving much attention because of its extensive applications in areas such as the dynamic analysis of mechanical systems, acoustics and fluid mechanics etc.
Sadangi, Satyabrata
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Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media
Boundary Value Problems, 2005 We study nonlinear eigenvalue problems of the type −div(a(x)∇u)=g(λ,x,u) in â„ÂN, where a(x) is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity ...
Vicenţiu RăDulescu +1 more
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Recursive integral method for transmission eigenvalues
, 2015 Recently, a new eigenvalue problem, called the transmission eigenvalue problem, has attracted many researchers. The problem arose in inverse scattering theory for inhomogeneous media and has important applications in a variety of inverse problems for ...
Huang, Ruihao +3 more
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Hybrid TE-TE-wave propagation in closed plane waveguide filled with nonlinear medium
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. Analysis of new modes of wave propagation in planar nonlinear waveguide structures constitutes an important class of electromagnetic problems and leads to the emergence of new problem statements.
V.Yu. Martynova
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Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods [PDF]
GAMM-Mitteilungen, 2004 AbstractWe discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi‐Davidson, Arnoldi or the rational Krylov method and analyze their properties.
Mehrmann, Volker, Voss, Heinrich
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Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in $R^n$
Electronic Journal of Differential Equations, 2005 In this paper, we study the nonlinear eigenvalue field equation $$ -Delta u+V(|x|)u+varepsilon(-Delta_p u+W'(u))=mu u $$ where $u$ is a function from $mathbb{R}^n$ to $mathbb{R}^{n+1}$ with $ngeq 3$, $varepsilon$ is a positive parameter and $p$ greater
Daniela Visetti
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Journal of Inequalities and Applications, 2016 Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang +2 more
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NON LINEAR EIGENVALUE PROBLEMS
Matemática Contemporânea, 2004 In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E.
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Nonlinear eigenvalue problems in Sobolev spaces with variable exponent
Journal of Function Spaces and Applications, 2006 We study the boundary value problem -div((|∇u|p1(x)-2+|∇u|p2(x)-2)∇u)=f(x,u) in Ω, u=0 on ∂Ω, where Ω is a smooth bounded domain in ℝN. We focus on the cases when f±(x, u)=±(-λ|u|m(x)-2u+|u|q(x)-2u), where m(x)≔max{p1(x),p2(x)}
Teodora-Liliana Dinu
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