In this paper we consider the problem −Δu + a(x)u = |u|p−2u in IRN, where p > 2 and p < 2∗ = 2N N−2 ifN >2. Assuming that the potential a(x) is a regular function such that lim inf|x|→+∞ a(x) = a∞ > 0 and that verifies suitable decay assumptions, but not requiring any
Infinitely many bound states for some nonlinear scalar field equations / Cerami, G; Devillanova, G; Solimini, S.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 23:2(2004), pp. 139-168. [10.1007/s00526-004-0293-6]
Infinitely many bound states for some nonlinear scalar field equations
Cerami G;Devillanova G;Solimini S.
2004-01-01
Abstract
In this paper we consider the problem −Δu + a(x)u = |u|p−2u in IRN, where p > 2 and p < 2∗ = 2N N−2 ifN >2. Assuming that the potential a(x) is a regular function such that lim inf|x|→+∞ a(x) = a∞ > 0 and that verifies suitable decay assumptions, but not requiring anyFile in questo prodotto:
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