On a Class of Reversible Elliptic Systems
Copyright policy )On a Class of Reversible Elliptic Systems
Abstract For a semilinear elliptic system of PDE’s which is spatially reversible, we establish the existence of solutions in C2(ℝ2 × Tn−2, ℝm) that are heteroclinic in x2 between a pair of solutions in C2(ℝ × Tn−1, ℝm) that are each heteroclinic in x1. The proof uses minimization arguments.
- University of Wisconsin–Madison United States
- University of Wisconsin–Oshkosh United States
- University of Wisconsin System United States
heteroclinic solutions, Second-order elliptic systems, Semilinear elliptic equations, minimization argument, renormalized functional, reversible elliptic systems, Variational methods for elliptic systems, Existence theories in calculus of variations and optimal control
heteroclinic solutions, Second-order elliptic systems, Semilinear elliptic equations, minimization argument, renormalized functional, reversible elliptic systems, Variational methods for elliptic systems, Existence theories in calculus of variations and optimal control
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