Results 101 to 110 of about 3,569,907 (305)
A minimax formula for the principal eigenvalues of Dirichlet problems and its applications
Electronic Journal of Differential Equations, 2007 A minimax formula for the principal eigenvalue of a nonselfadjoint Dirichlet problem was established in [8,18]. In this paper we generalize this formula to the case where an indefinite weight is present.
Tomas Godoy +2 more
doaj
Riesz Bases of Root Vectors of Indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions, I [PDF]
, 2007 We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter.
Binding, Paul, Ćurgus, Branko
core +5 more sources
Strongly indefinite systems with critical sobolev exponents and weights
Applied Mathematics Letters, 2004 Let \(\Omega\) be a bounded smooth domain in \(\mathbb R^N\), \(N\geq 4\) and \(\lambda,\mu\in\mathbb R\). The author deals with the following problem: \[ -\Delta v=\lambda u+K(x)|u|^{p-1}u\text{ in }\Omega, \quad -\Delta u=\mu v+ Q(x)|v|^{q-1}v\text{ in }\Omega, \quad u=v=0\text{ on }\partial\Omega, \tag{1} \] where \(p,q>1\) and coefficients \(K,Q ...
openaire +1 more source
Polymer Composites, EarlyView.Role of the modifications at the interface in glass fiber reinforced composites for damage monitoring. ABSTRACT Glass Fiber Reinforced Polymers (GFRPs) are widely used in structural applications but degrade over time due to internal damage. Structural Health Monitoring (SHM) enables early damage detection, improving reliability and reducing maintenance
Marta Colombo +10 more
wiley +1 more source
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
doaj +1 more source
Polymer International, EarlyView.An overview and categorization of man‐made per‐ or polyfluoroalkyl substances (PFASs) including low‐molar‐mass and high‐molar‐mass fluorochemicals, and their international regulations is presented. Though certain PFASs are toxic, bioaccumulative and cross the human cellular membranes, others, such as fluoropolymers, are safe, reliable and involved in ...
Bruno Améduri
wiley +1 more source
Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
Towards a Sustainable Future: Addressing Climate Change and Promoting Sustainable Development
Sustainable Development, EarlyView.ABSTRACT This study aims to analyze policy research and global agreements on the decarbonization of economic development. Climate change and economic development are separate and equal, and strategies should separate responsibility from action. This will be required beyond the Kyoto and Paris agreements.
Woo‐Sik Sohn
wiley +1 more source
On the spectrum of the p-biharmonic operator
Electronic Journal of Differential Equations, 2002 This work is devoted to the study of the spectrum for p-biharmonic operator with an indefinite weight in a bounded domain.
Abdelouahed El Khalil +2 more
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An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight [PDF]
AUT Journal of Mathematics and ComputingThis paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition.
Mehdi Latifi, Mohsen Alimohammady
doaj +1 more source