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).
2000
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5978
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