Results 31 to 40 of about 1,214,101 (108)
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
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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
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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
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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
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ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS
, 2010 In this paper, we will introduce the rotation number for the one-dimensional asymmetric p-Laplacian with a pair of periodic potentials. Two applications of this notion will be given.
MEIRONG ZHANG, PING YAN
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BIFURCATION RESULTS FOR QUASILINEAR OPERATORS FROM THE FUČIK SPECTRUM OF THE LAPLACIAN
, 2023 In this paper, we analyze an eigenvalue problem for quasi-linear elliptic operators involving Dirichlet boundary condition in a open smooth bounded set.
Zongo, Emmanuel Wend-Benedo
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On the Fučik spectrum of the wave operator and an asymptotically linear problem [PDF]
, 2010 We study generalized solutions of the nonlinear wave equationutt−uss=au+−bu−+p(s,t,u), with periodic conditions in t and homogeneous Dirichlet conditions in s, under the assumption that the ratio of the period to the length of the interval is two. When p≡
Hossein Tehrani +3 more
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Sign‐Changing Solutions to Equations of Elliptic Type
, 2010 International Journal of Differential Equations, Volume 2010, Issue 1, 2010.
Wenming Zou +4 more
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The Rotation Number Approach to the Periodic Fuc caron ik Spectrum [PDF]
, 2002 In this paper, we study the Fučik spectrum of the problem: (*) ẍ+(λ++q+(t))x++(λ−+q−(t))x−=0 with the 2π-periodic boundary condition, where q±(t) are 2π-periodic.
Zhang, Meirong
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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Nonlinear Analysis, 2014 Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed.
Natalija Sergejeva
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