1 citations · 1 across the 4 of their papers we have counts for
5 papers
Instability of Reducible Critical Points of the Seiberg-Witten Functional
Celso Melchiades Doria
The Euler-Lagrange equations for the variational approach to the Seiberg-Witten equations always admit reducible solutions. In this context, the existence of unstable reducible sol…
The Morse Index of Redutible Solutions Of The Seiberg-Witten Equations
Celso Melchiades Doria
The variation formula of the Seiberg-Witten functional is obtained in order to estimate the Morse index of redutible solutions . It is shown that their Morse index…
Boundary Value Problems for the -order Seiberg-Witten Equations
C M Doria
It is shown that the non-homogeneous Dirichlet and Neuman problems for the -order Seiberg-Witten equation admit a regular solution once the -condition (describ…
A Necessary Condition for the Existence of SW-Monopoles
Celso M. Doria
Originally, the SW-equations discovered by Seiberg-Witten are 1st-order PDE, which solutions (A,ϕ), with ϕ\ne 0, are known as SW-monopoles. It is known that the solutions of these…
On the Existence of Critical Points to the Seiberg-Witten Functional
Celso M. Doria
Considering that the Seiberg-Witten functional satisfies the Palais-Smale Condition, up to gauge equivalence, the Minimax Principle can be applied on the moduli space to prove the…