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