Maximum principle for elliptic operators and applications
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Rabah Tahraoui (2002)
Annales de l'I.H.P. Analyse non linéaire
Bénédicte Alziary, Laure Cardoulis, Jacqueline Fleckinger-Pellé (1997)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Hsu, Tsing-San (2010)
Boundary Value Problems [electronic only]
Hsu, Tsing-San, Lin, Huei-Li (2010)
Boundary Value Problems [electronic only]
Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
Lin, Huei-Li (2010)
International Journal of Differential Equations
Hsu, Tsing-San (2009)
Boundary Value Problems [electronic only]
Shen, Ying, Zhang, Jihui (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Wen-shu Zhou, Xiao-dan Wei (2010)
Annales Polonici Mathematici
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.
Honghui Yin, Zuodong Yang (2011)
Annales Polonici Mathematici
Our main purpose is to establish the existence of weak solutions of second order quasilinear elliptic systems ⎧ , x ∈ Ω, ⎨ , x ∈ Ω, ⎩ u = v = 0, x∈ ∂Ω, where 1 < q < p < N and is an open bounded smooth domain. Here λ₁, λ₂, μ ≥ 0 and (i = 1,2) are sign-changing functions, where , , and denotes the p-Laplace operator. We use variational methods.
Hsu, Tsing-San (2009)
Abstract and Applied Analysis
Kim, Chan-Gyun, Lee, Yong-Hoon, Sim, Inbo (2008)
Boundary Value Problems [electronic only]
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