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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities

Ravi P. Agarwal Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USACorrespondence[email protected]
,
Kanishka Perera Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
&
Donal O'Regan Department of Mathematics, National University of Ireland, Galway, Ireland
Pages 1201-1206 | Accepted 10 Jul 2005, Published online: 04 Jan 2007

Citations (17)

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Read on this site (3)

M. Marin, E. Carrera, M. I. A. Othman & I. Abbas. (2023) A variational approach of the boundary value problem for elastic Cosserat bodies. Mechanics of Advanced Materials and Structures 0:0, pages 1-6.
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T. Godoy & A. Guerin. (2020) Elliptic bifurcation problems that are singular in the dependent and in the independent variables. Complex Variables and Elliptic Equations 65:9, pages 1548-1564.
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Sarika Goyal & K. Sreenadh. (2014) On multiplicity of positive solutions for N-Laplacian with singular and critical nonlinearity. Complex Variables and Elliptic Equations 59:12, pages 1636-1649.
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Articles from other publishers (14)

Vladimir Bobkov & Mieko Tanaka. (2023) On the antimaximum principle for the p-Laplacian and its sublinear perturbations. Partial Differential Equations and Applications 4:3.
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Tomas Godoy. (2022) Strong solutions for singular Dirichlet elliptic problems. Electronic Journal of Qualitative Theory of Differential Equations:40, pages 1-20.
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Marcelo Montenegro & Jesus Alberto Leon Tordecilla. (2021) Existence of positive solution for elliptic equations with singular terms and combined nonlinearities. Journal of Mathematical Analysis and Applications 503:2, pages 125316.
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Nikolaos S. Papageorgiou & Andrea Scapellato. (2021) Nonlinear singular problems with convection. Journal of Differential Equations 296, pages 493-511.
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Navnit Jha & Bhagat Singh. (2019) Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation. Advances in Difference Equations 2019:1.
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Tomás Godoy & Alfredo Guerin. (2019) Positive weak solutions of elliptic Dirichlet problems with singularities in both the dependent and the independent variables. Electronic Journal of Qualitative Theory of Differential Equations:54, pages 1-17.
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Jiayin Liu, Duchao Liu & Peihao Zhao. (2016) Soliton Solutions for a Singular Schrödinger Equation with Any Growth Exponents. Acta Applicandae Mathematicae 148:1, pages 179-199.
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Lin Wang & Jian Zu. (2014) Periodic oscillation in suspension bridge model with a periodic damping term. Boundary Value Problems 2014:1.
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Leszek Gasiński & Nikolaos S. Papageorgiou. (2011) Nonlinear Elliptic Equations with Singular Terms and Combined Nonlinearities. Annales Henri Poincaré 13:3, pages 481-512.
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Sophia Th. Kyritsi & Nikolaos S. Papageorgiou. (2010) Pairs of positive solutions for singular -Laplacian equations with a -superlinear potential. Nonlinear Analysis: Theory, Methods & Applications 73:5, pages 1136-1142.
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Eun Kyoung Lee, R. Shivaji & Jinglong Ye. (2009) Positive solutions for elliptic equations involving nonlinearities with falling zeroes. Applied Mathematics Letters 22:6, pages 846-851.
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Ahmed Mohammed. (2009) Positive solutions of the p-Laplace equation with singular nonlinearity. Journal of Mathematical Analysis and Applications 352:1, pages 234-245.
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Wen‐Shu Zhou. (2008) A singular nonlinear elliptic equation with natural growth in the gradient. Mathematical Methods in the Applied Sciences 31:14, pages 1704-1721.
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Kanishka Perera & Elves A.B. Silva. (2006) Existence and multiplicity of positive solutions for singular quasilinear problems. Journal of Mathematical Analysis and Applications 323:2, pages 1238-1252.
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