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.