12 research outputs found
On the lowest eigenvalue of Laplace operators with mixed boundary conditions
Full text linkIn this paper we consider a Robin-type Laplace operator on bounded domains.
We study the dependence of its lowest eigenvalue on the boundary conditions and
its asymptotic behavior in shrinking and expanding domains. For convex domains
we establish two-sided estimates on the lowest eigenvalues in terms of the
inradius and of the boundary conditions
Applications of the maximum principle to a variety of problems involving elliptic and parabolic equations
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Maximum principles for a class of nonlinear second order elliptic differential equations
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A condition for blow-up solutions to discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks
No full textHardy Spaces, Singular Integrals and The Geometry of Euclidean Domains of Locally Finite Perimeter
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