Displaying similar documents to “New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations”

Existence and uniqueness theorems for fourth-order boundary value problems

Jolanta Przybycin (1997)

Annales Polonici Mathematici

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We establish the existence and uniqueness theorems for a linear and a nonlinear fourth-order boundary value problem. The results obtained generalize the results of Usmani [4] and Yang [5]. The methods used are based, in principle, on [3], [5].

Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian

Kei Funano (2016)

Analysis and Geometry in Metric Spaces

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We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.