Asymptotic behaviour of positive large solutions of quasilinear logistic problems

被引：0

作者：

Alsaedi, Ramzi ^{[1
]}

Maagli, Habib ^{[1
]}

Radulescu, Vicentiu D. ^{[1
,2
]}

Zeddini, Noureddine ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 28期

关键词：

asymptotic behaviour; positive solution; boundary blow-up; maximum principle; BOUNDARY BLOW-UP; ELLIPTIC-EQUATIONS; EXPLOSIVE SOLUTIONS; EXISTENCE; UNIQUENESS; REGULARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the asymptotic analysis of singular solutions with blowup boundary for a class of quasilinear logistic equations with indefinite potential. Under natural assumptions, we study the competition between the growth of the variable weight and the behaviour of the nonlinear term, in order to establish the blow-up rate of the positive solution. The proofs combine the Karamata regular variation theory with a related comparison principle. The abstract result is illustrated with an application to the logistic problem with convection.

引用

页码：1 / 15

页数：15

共 46 条

[1] Nonlinearities in Elliptic Curve Authentication [J].

Alsaedi, Ramzi ;

Constantinescu, Nicolae ;

Radulescu, Vicentiu .

ENTROPY, 2014, 16 (09) :5144-5158

[2]

[Anonymous], 2000, Lecture Notes Mathematics, DOI DOI 10.1007/BFB0103952

[3]

[Anonymous], ELECT J DIFFER EQU

[4] LARGE SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS - EXISTENCE, UNIQUENESS AND ASYMPTOTIC-BEHAVIOR [J].

BANDLE, C ;

MARCUS, M .

JOURNAL D ANALYSE MATHEMATIQUE, 1992, 58 :9-24

[5]

Bieberbach L, 1915, MATH ANN, V77, P173

[6]

Bingham Nicholas H, 1989, Encyclopedia of Mathematics and its Applications, V27

[7] ON THE STRUCTURE OF THE CONFORMAL SCALAR CURVATURE EQUATION ON R(N) [J].

CHENG, KS ;

NI, WM .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (01) :261-278

[8] Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights [J].

Chuaqui, M ;

Cortazar, C ;

Elgueta, M ;

Garcia-Melian, J .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (04) :653-662

[9]

Cîrstea FC, 2006, ASYMPTOTIC ANAL, V46, P275

[10] Uniqueness of the blow-up boundary solution of logistic equations with absorbtion [J].

Cîrstea, FC ;

Radulescu, V .

COMPTES RENDUS MATHEMATIQUE, 2002, 335 (05) :447-452

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