In this paper we consider estimates of the Raleigh quotient and in general of the H[1,p]-eigenvalue in quasicylindrical domains. Then we apply the results to obtain, by variational methods, the existence and uniqueness of weak solutions of the Dirichlet problem for second-order elliptic equations in divergent form. For such solutions global boundedness estimates have been also established.
H[1,p]-eigenvalues and L[infty]-estimates in quasicylindrical domains
VITOLO, Antonio
2011-01-01
Abstract
In this paper we consider estimates of the Raleigh quotient and in general of the H[1,p]-eigenvalue in quasicylindrical domains. Then we apply the results to obtain, by variational methods, the existence and uniqueness of weak solutions of the Dirichlet problem for second-order elliptic equations in divergent form. For such solutions global boundedness estimates have been also established.File in questo prodotto:
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