Results 41 to 50 of about 1,211,085 (119)
A Variational Characterization of the Fucik Spectrum and Applications [PDF]
, 2010 We characterize the Fucik spectrum (see [9]) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation.
Alfonso Castro +3 more
core +1 more source
Editorial Note: Impact of COVID-19 on Spectrum operations
, 2020 To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5). We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
core +1 more source
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009 We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen +4 more
wiley +1 more source
On some problems with nonlocal integral condition
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj +1 more source
Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
wiley +1 more source
Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
wiley +1 more source
Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$,
Aboubacar Marcos
doaj +1 more source
On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, Volume 7, Issue 10, Page 509-516, 2002., 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Zhitao Zhang +3 more
wiley +1 more source
On Solvability of the Damped Fučík Type Problem with Integral Condition
Mathematical Modelling and Analysis, 2014 The solvability results are established for the boundary value problem with a damping term , x(0) = 0, where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity, µ, λ real parameters.
Natalija Sergejeva
doaj +1 more source
Advanced Science, Volume 11, Issue 22, June 12, 2024.A design–build–test–learn (DBTL) framework for rational enzyme design is proposed to modify the substrate preference of the phosphatase BT4131. The best mutant, exhibiting significantly enhanced preference for N‐acetylglucosamine‐6‐phosphate (GlcNAc6P), is combined with a GlcNAc6P biosensor and applied to microbial cell factories, resulting in a ...
Jiangong Lu +9 more
wiley +1 more source