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Elliptic Regularization for a Class of Strongly Nonlinear Degenerate Eigenvalue Problems on Orlicz-Sobolev Spaces. I: The Ode Case
(University of Texas at Arlington, 1985-01)
**Please note that the full text is embargoed** ABSTRACT: This paper is devoted to proving sharp Holder-Lipschitz regularity estimates for the eigensolutione to a class of degenerate Sturm-Liouville eigenvalue problems ...
A Class of Elliptic Partial Differential Equations with Exponential Nonlineraities
(University of Texas at Arlington, 1984)
**Please note that the full text is embargoed** ABSTRACT: This is the second of a series of papers devoted to systems of ordinary
and partial differential equations with exponential nonlinearities [20],
in which we prove ...
On a Class of Strongly Nonlinear Dirichlet Boundary-Value Problems: Beyond Pohozaev's Results
(University of Texas at Arlington, 1984)
**Please note that the full text is embargoed** ABSTRACT: Let [see pdf for notation] be an open bounded domain with closure [see pdf for notation] and smooth boundary [see pdf for notation]. Consider the
class of nonlinear ...
Existence and Regularity Theory for Isoperimetric Variational Problems on Orlicz-Sobolev Spaces: A Review
(University of Texas at Arlington, 1984-10)
**Please note that the full text is embargoed** ABSTRACT: In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue ...
[see pdf for notation]-Reularity for the Solution of Strongly Nonlinear Eigenvalue Problems on Orlicz-Sobolev Spaces
(University of Texas at Arlington, 1984-08)
**Please note that the full text is embargoed** ABSTRACT: We present a new method to prove the [see pdf for notation]-regularity
of the eigenfunctions for Dirichlet problems with strictly convex Young functionnonlinearities ...
Nonexistence of Spatially Localized Free Vibrations for a Class of Nonlinear Wave Equations
(University of Texas at Arlington, 1985)
**Please note that the full text is embargoed** ABSTRACT: We prove the nonexistence of free vibrations of arbitrary period with polynomially decreasing profiles for a large class of nonlinear wave equations in one space ...