On some interesting properties of p–laplacian equation
Keywords:
Singular solution, p–laplacian equation, p–harmonic function
Abstract
In the present paper we establish, on the one hand, some singular solutions concerning to the 1–laplacian equation. On the other hand, we give some properties related to the weak solutions of p–lapalcian equation
References
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N. Sauer. Properties of bilinear forms on Hilbert spaces related to stability properties of certain partial differential operators. Journal of Mathematical Analysis and Applications. 20 (1967), 124–126.
Benjin Xuan. Existence results for a superlinear p–laplacian equation with indefinite weights. Nonlinear Analysis 54 (2003), 949–950.
Fang Li and Zuodong Yang. Existence of positive solutions of singular p–laplacian equations in a ball. J. Nonlinear Sci. Appl. 5 (2012), 44–45.
Huashui Zhan and Zhaosheng Feng. Existence of solutions to an evolution p–laplacian equation with a nonlinear gradient term. Electronic Journal of Differential Equations, 2017(311) (2017), 1–2.
Patrizia Pucci and Raffaella Servadei. On weak solutions for p–laplacian equations with weights. Rend. Lincei Mat. Appl. 18 (2017), 257–258.
Patrizia Pucci and Raffaella Servadei. On weak solutions for p–laplacian equations with weights. Discrete and continuos Dynamical Systems, Supplement Volume 2007, 1–2.
Haim Brezis. Analyse fonctionnelle, théorie et applications. Masson, Paris, 1987.
Lawrence C. Evans. Partial Differential Equations. American Mathematical Society Equations. 19.
Abimbola Abolarinwa. The first figenvalue of p–laplacian and geometric estimates. Nonl. Analysis and Differential Equations. 2 (2014), 105–106.
Lorenzo Brasco and Erik Lindgren. Higher Sobolev regularity for the fractional p–Laplace equation in the superquadratic case. Advances in Mathematics, Elsevier. 304 (2017), 1–2.
Aomar Anane et. al.. Nodal domains for the p–laplacian, Advances in Dynamical Systems and Applications. 2 (2007), 135–136.
N. Sauer. Properties of bilinear forms on Hilbert spaces related to stability properties of certain partial differential operators. Journal of Mathematical Analysis and Applications. 20 (1967), 124–126.
Published
2019-12-29
How to Cite
Mboro Nchama, G. A., Rodrı́guez RicardM., & León Mecı́as Ángela. (2019). On some interesting properties of p–laplacian equation. Divulgaciones Matemáticas, 20(2), 63-71. Retrieved from https://produccioncientifica.luz.edu.ve/index.php/divulgaciones/article/view/36631
Section
Research papers
