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Applicable Analysis
An International Journal
Volume 47, 1992 - Issue 1-4
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Original Articles

Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations

Zongming Guo Department of Mathematics, University of Glasgow, G12 8QW, Glasgow, UK; Henan Normal University, Xinxiang, 453002, P. R. China
Pages 173-189 | Received 20 Jun 1991, Published online: 17 Sep 2008

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Read on this site (6)

Zhoujin Cui & Zuodong Yang. (2010) A Neumann problem for quasilinear elliptic equations with logarithmic nonlinearity in a ball. Complex Variables and Elliptic Equations 55:12, pages 1143-1153.
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Qing Miao & Zuodong Yang. (2010) The properties of solution for quasilinear elliptic equations. Complex Variables and Elliptic Equations 55:12, pages 1089-1097.
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Qing Miao & Zuodong Yang. (2010) Boundary blow-up solutions for a class of quasilinear elliptic equations. Applicable Analysis 89:12, pages 1893-1905.
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Miao Qing & Zuodong Yang. (2010) Quasilinear elliptic equation involving singular non-linearities. International Journal of Computer Mathematics 87:6, pages 1338-1348.
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Junli Yuan & Zuodong Yang. (2009) Existence, non-existence and asymptotic behaviour of blow-up entire solutions of quasi-linear elliptic equations. Complex Variables and Elliptic Equations 54:1, pages 41-55.
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Yang Zuodong & Guo Zongming. (1995) On the structure of positive solutions for quasilinear ordinary differential equations. Applicable Analysis 58:1-2, pages 31-51.
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Articles from other publishers (28)

Zhoujin Cui, Zisen Mao, Wen Zong, Xiaorong Zhang & Zuodong Yang. (2020) Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity. Journal of Function Spaces 2020, pages 1-9.
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Xuemei Zhang. (2020) Existence and uniqueness of nontrivial radial solutions for k-Hessian equations. Journal of Mathematical Analysis and Applications 492:1, pages 124439.
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Meiqiang Feng. (2020) Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior. Advances in Nonlinear Analysis 10:1, pages 371-399.
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Yichen Zhang & Meiqiang Feng. (2020) A coupled <inline-formula><tex-math id="M1">$ p $</tex-math></inline-formula>-Laplacian elliptic system: Existence, uniqueness and asymptotic behavior. Electronic Research Archive 28:4, pages 1419-1438.
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WEIHUI WANG & ZUODONG YANG. (2015) EXISTENCE OF RADIAL POSITIVE SOLUTIONS FOR A QUSILINEAR NON-POSITONE PROBLEM IN A BALL. Journal of applied mathematics & informatics 33:5_6, pages 749-757.
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Zhong Bo Fang & Su-Cheol Yi. (2013) Existence and nonexistence of entire positive solutions for ( p , q ) -Laplacian elliptic system with a gradient term. Boundary Value Problems 2013:1.
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Zhitao ZhangZhitao Zhang. 2013. Variational, Topological, and Partial Order Methods with Their Applications. Variational, Topological, and Partial Order Methods with Their Applications 249 269 .
Mingzhu Wu & Zuodong Yang. (2010) Existence and Non-Existence Result for Singular Quasilinear Elliptic Equations. Applied Mathematics 01:05, pages 351-356.
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Chunlian Liu & Zuodong Yang. (2008) Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions. Applied Mathematics and Computation 199:2, pages 414-424.
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Qing Miao & Zuodong Yang. (2008) On the existence of multiple positive entire solutions for a quasilinear elliptic systems. Applied Mathematics and Computation 198:1, pages 12-23.
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Qing Miao & Zuodong Yang. (2007) Entire positive solution to the system of quasilinear elliptic equations. Applied Mathematics and Computation 192:2, pages 496-506.
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Chunlian Liu & Zuodong Yang. (2007) Existence of large solutions for quasilinear elliptic problems with a gradient term. Applied Mathematics and Computation 192:2, pages 533-545.
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Zuodong Yang. (2006) Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation. Journal of Computational and Applied Mathematics 197:2, pages 355-364.
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Honghui Yin & Zuodong Yang. (2006) Some new results on the existence of bounded positive entire solutions for quasilinear elliptic equations. Applied Mathematics and Computation 177:2, pages 606-613.
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Zongming Guo. (2005) Exact multiplicity for some quasilinear elliptic Dirichlet problems where the non-linearity changes sign. Nonlinear Analysis: Theory, Methods & Applications 61:7, pages 1135-1155.
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Zuodong Yang. (2004) Existence of positive bounded entire solutions for quasilinear elliptic equations. Applied Mathematics and Computation 156:3, pages 743-754.
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ZONGMING GUO & J. R. L. WEBB. (2011) PROFILE OF SOLUTIONS WITH SHARP LAYERS TO SOME SINGULARLY PERTURBED QUASILINEAR DIRICHLET PROBLEMS. Communications in Contemporary Mathematics 05:06, pages 883-920.
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Zongming Guo & Zhitao Zhang. (2003) W1,p versus C1 local minimizers and multiplicity results for quasilinear elliptic equations. Journal of Mathematical Analysis and Applications 286:1, pages 32-50.
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D.D. Hai & R. Shivaji. (2003) Existence and uniqueness for a class of quasilinear elliptic boundary value problems. Journal of Differential Equations 193:2, pages 500-510.
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Zongming Guo & J.R.L Webb. (2002) Large and Small Solutions of a Class of Quasilinear Elliptic Eigenvalue Problems. Journal of Differential Equations 180:1, pages 1-50.
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Zhong Tan & Zhengan Yao. (2001) The existence of multiple solutions of p -laplacian elliptic equation. Acta Mathematica Scientia 21:2, pages 203-212.
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Zuodong Yang & Huisheng Yang. (2001) A priori estimates for a quasilinear elliptic partial differential equations non-positone problems. Nonlinear Analysis: Theory, Methods & Applications 43:2, pages 173-181.
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F. Brock & J. Prajapat. (2000) Some new symmetry results for elliptic problems on the sphere and in Euclidean space. Rendiconti del Circolo Matematico di Palermo 49:3, pages 445-462.
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Guo Zongming & Yang Zuodong. (1998) Some uniqueness results for a class of quasilinear elliptic eigenvalue problems. Acta Mathematica Sinica 14:2, pages 245-260.
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Yang Zuodong. (1997) Non-existence of positive entire solutions for elliptic inequalities of P-laplacian. Applied Mathematics-A Journal of Chinese Universities 12:4, pages 399-410.
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Zongming Guo. (1996) On the number of positive solutions for quasilinear elliptic eigenvalue problems. Nonlinear Analysis: Theory, Methods & Applications 27:2, pages 229-247.
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R. Manásevich & K. Schmitt. 1996. Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations. Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations 79 119 .
Zongming Guo & J. R. L. Webb. (2011) Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124:1, pages 189-198.
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