Asymptotic behavior and uniqueness of boundary blow-up solutions to elliptic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, under some structural assumptions of weight function $b(x)$ and nonlinear term $f(u)$, we establish the asymptotic behavior and uniqueness of boundary blow-up solutions to semilinear elliptic equations \begin{equation*} \begin{cases ...
Qiaoyu Tian, Yonglin Xu
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Asymptotic behaviour of positive large solutions of quasilinear logistic problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We are interested in the asymptotic analysis of singular solutions with blow-up boundary for a class of quasilinear logistic equations with indefinite potential.
Ramzi Alsaedi +3 more
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Exact boundary behavior of the unique positive solution for singular second-order differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we give the exact asymptotic behavior of the unique positive solution to the following singular boundary value problem \begin{equation*} \begin{cases} -\frac{1}{A}(Au^{\prime })^{\prime }=p(x)g(u),\quad x\in (0,1), \\ u>0,\quad \text{in ...
Imed Bachar, Habib Maagli
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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]
Opuscula Mathematica, 2015 In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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Existence and boundary behavior of positive solutions for a Sturm-Liouville problem [PDF]
Opuscula Mathematica, 2016 In this paper, we discuss existence, uniqueness and boundary behavior of a positive solution to the following nonlinear Sturm-Liouville problem \[\begin{aligned}&\frac{1}{A}(Au^{\prime })^{\prime }+a(t)u^{\sigma}=0\;\;\text{in}\;(0,1),\\ &\lim\limits_{t ...
Syrine Masmoudi, Samia Zermani
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Beurling slow and regular variation [PDF]
, 2014 We give a new theory of Beurling regular variation ( Part II). This includes the previously known theory of Beurling slow variation ( Part I) to which we contribute by extending Bloom's theorem.
Bingham, N. H., Ostaszewski, A. J.
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]
, 2014 The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
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General regular variation, Popa groups and quantifier weakening [PDF]
, 2020 We introduce general regular variation, a theory of regular variation containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases.
Bingham, N. H., Ostaszewski, Adam
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Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain [PDF]
Opuscula Mathematica, 2016 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^{n}\) (\(n\geq 2\)) with a smooth boundary \(\partial \Omega\). We discuss in this paper the existence and the asymptotic behavior of positive solutions of the following semilinear elliptic system ...
Majda Chaieb +2 more
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Existence and boundary behavior of weak solutions for Schrödingerean TOPSIS equations
Boundary Value Problems, 2018 In this paper, we prove that there exists a weak solution for Schrödingerean technique for order performance by similarity (TOPSIS) equations on cylinders.
Yong Wang +6 more
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