Volume 37 • Number 4 • 2014   • Existence and Properties of Solutions of a Boundary Problem for a Love's Equation Le Thi Phuong Ngoc, Nguyen Tuan Duy and Nguyen Thanh Long Abstract. In this paper, we use the Faedo-Galerkin method, compactness method and monotone method in order to study a nonlinear Love's equation with mixed nonhomogeneous conditions. The results obtained here are existence of a weak solution, uniqueness, regularity and asymptotic behavior of solutions. 2010 Mathematics Subject Classification:35L05, 35L15, 35L70, 37B25 Full text: PDF