Non-real eigenvalues of symmetric Sturm–Liouville problems with indefinite weight functions [PDF]
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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On a class of Schrodinger-Type equations with indefinite weight functions
Communications in Partial Differential Equations, 2008 In this paper we investigate the solvability of the Schrodinger equation (1.1) with indefinite weight functions and a subcritical Sobolev nonlinearity.
Chabrowski, J. H., Costa, D. G.
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A priori bounds and existence of non-real eigenvalues of fourth-order boundary value problem with indefinite weight function [PDF]
Electronic Journal of Differential Equations, 2016 In this article, we give a priori bounds on the possible non-real eigenvalue of regular fourth-order boundary value problem with indefinite weight function and obtain a sufficient conditions for such problem to admit non-real eigenvalue.
Xiaoling Han, Ting Gao
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Eigenvalue problems for the p-Laplacian with indefinite weights
Electronic Journal of Differential Equations, 2001 We consider the eigenvalue problem $-Delta_p u=lambda V(x) |u|^{p-2} u, uin W_0^{1,p} (Omega)$ where $p>1$, $Delta_p$ is the p-Laplacian operator, $lambda >0$, $Omega$ is a bounded domain in $mathbb{R}^N$ and $V$ is a given function in $L^s (Omega)$ ($s$
Mabel Cuesta
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Existence of solutions for quasilinear elliptic equations with nonlinear boundary conditions and indefinite weight [PDF]
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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Nodal solutions of weighted indefinite problems [PDF]
Journal of Evolution Equations, 2020 This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in front of the spectral parameter. Quite astonishingly, the associated high order eigenvalues might not be concave as it is the lowest one.
M. Fencl, J. López-Gómez
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Existence of solutions for critical fractional p-Laplacian equations with indefinite weights
Electronic Journal of Differential Equations, 2021 This article concerns the critical fractional p-Laplacian equation with indefinite weights $$ (-\Delta_p)^su=\lambda g(x)|u|^{p-2}u+h(x)|u|^{p_s^*-2}u \quad \text{in }\mathbb{R}^N, $$ where ...
Na Cui, Hong-Rui Sun
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EIGENVALUE HOMOGENISATION PROBLEM WITH INDEFINITE WEIGHTS [PDF]
Bulletin of the Australian Mathematical Society, 2015 In this work we study the homogenisation problem for nonlinear elliptic equations involving$p$-Laplacian-type operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues.
Fernandez Bonder, Julian +2 more
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Asymmetric elliptic problems with indefinite weights [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002 We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with weights involving the laplacian (cf. (1.2) below) or more generally the p -laplacian (cf. (1.3) below).
Gossez, Jean-Pierre +3 more
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High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models
Advanced Nonlinear Studies, 2020 We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto +2 more
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