Solving p-Laplacian equations on complete manifolds

Date

2006-12-14

Authors

Benalili, Mohammed
Youssef, Maliki

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

Using a reduced version of the sub and super-solutions method, we prove that the equation Δpu + kup* - 1 = 0 has a positive solution on a complete Riemannian manifold for appropriate functions k, K : M → ℝ.

Description

Keywords

Differential geometry, Nonlinear partial differential equations

Citation

Benalili, M., & Maliki, Y. (2006). Solving p-Laplacian equations on complete manifolds. <i>Electronic Journal of Differential Equations, 2006</i>(155), pp. 1-9.

Rights

Attribution 4.0 International

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