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Full-Text Articles in Physical Sciences and Mathematics
An Elliptic Equation With No Monotonicity Condition On The Nonlinearity, Gregory S. Spradlin
An Elliptic Equation With No Monotonicity Condition On The Nonlinearity, Gregory S. Spradlin
Greg S. Spradlin Ph.D.
An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree theory argument must be used.
Nonlinear Equations And Wavelets, Andrei Ludu
An Elliptic Partial Differential Equation With A Symmetrical Almost Periodic Term, Gregory S. Spradlin
An Elliptic Partial Differential Equation With A Symmetrical Almost Periodic Term, Gregory S. Spradlin
Greg S. Spradlin Ph.D.
No abstract provided.
A Singularly Perturbed Elliptic Partial Differential Equation With An Almost Periodic Term, Gregory S. Spradlin
A Singularly Perturbed Elliptic Partial Differential Equation With An Almost Periodic Term, Gregory S. Spradlin
Greg S. Spradlin Ph.D.
No abstract provided.