In this paper we obtain multiple positive solutions of the nonlinear elliptic equation -h(2) Delta u + V(x) u = K(x) \u(p-2) u + Q(x) \u(q-2) u, x is an element of R-N, where V, K, Q are competing potential functions. We relate the number of solutions with the topology of the global minima set of a suitable ground energy function and improve a recent existence result of X. Wang and B. Zeng (1997, SIAM J. Math. Anal. 28, 633-655).
Multiple Positive Solutions to Nonlinear Schrödinger Equations with Competing Potential Functions / Cingolani, Silvia; Lazzo, Monica. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 160:1(2000), pp. 118-138. [10.1006/jdeq.1999.3662]
Multiple Positive Solutions to Nonlinear Schrödinger Equations with Competing Potential Functions
Silvia Cingolani;
2000-01-01
Abstract
In this paper we obtain multiple positive solutions of the nonlinear elliptic equation -h(2) Delta u + V(x) u = K(x) \u(p-2) u + Q(x) \u(q-2) u, x is an element of R-N, where V, K, Q are competing potential functions. We relate the number of solutions with the topology of the global minima set of a suitable ground energy function and improve a recent existence result of X. Wang and B. Zeng (1997, SIAM J. Math. Anal. 28, 633-655).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
