Solving p-Laplacian equations on complete manifolds
Texas State University-San Marcos, Department of Mathematics
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.
Differential geometry, Nonlinear partial differential equations
Benalili, M., & Maliki, Y. (2006). Solving p-Laplacian equations on complete manifolds. <i>Electronic Journal of Differential Equations, 2006</i>(155), pp. 1-9.