Entire nodal solutions to the critical Lane-Emden system
Por:
Clapp, Monica, Saldaña A.
Publicada:
2 abr 2020
Ahead of Print:
1 oct 2019
Resumen:
We establish the existence of finitely many sign-changing solutions to
the Lane-Emden system
-Delta u = vertical bar v vertical bar(q-2)v, -Delta v = vertical bar u
vertical bar(p-2) u in R-N, N >= 4, where the exponents p and q lie on
the critical hyperbola These solutions are nonradial and arise as limit
profiles of symmetric sign-changing minimizing sequences for a critical
higher-order problem in a bounded domain.
Filiaciones:
Clapp, Monica:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Coyoacán, CDMX, Mexico
Saldaña A.:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Coyoacán, CDMX, Mexico
Open Access
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