Singular nonlinear elliptic equations in .
Alves, C.O., Goncalves, J.V., Maia, L.A. (1998)
Abstract and Applied Analysis
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Alves, C.O., Goncalves, J.V., Maia, L.A. (1998)
Abstract and Applied Analysis
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Zhang, Peng, Liao, Jia-Feng (2010)
Abstract and Applied Analysis
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Wen-shu Zhou, Xiao-dan Wei (2010)
Annales Polonici Mathematici
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The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.
Laurent Véron (1987)
Banach Center Publications
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El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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Pedro J. Martínez-Aparicio (2009)
Bollettino dell'Unione Matematica Italiana
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We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.
Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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Rudd, Matthew, Tisdell, Christopher C. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zhou, Wen-Shu (2007)
Applied Mathematics E-Notes [electronic only]
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Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Zhang, Qihu (2007)
Journal of Inequalities and Applications [electronic only]
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D. Radunović (1992)
Matematički Vesnik
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