We are interested in the existence of infinitely many positive solutions of the Schrodinger-Poisson system {-Delta u + u + V(vertical bar z vertical bar phi u = vertical bar u vertical bar(p-1) u, x is an element of R(3) {(-)Delta phi = V(vertical bar x vertical bar)u(2), x is an element of R(3), where V(vertical bar x vertical bar) is a positive bounded function, 1 < p < 5 and V(r), r = vertical bar x vertical bar, has the following decay property: V(r) = a/r(m) + 0 (1/r(m+theta)) with a > 0, m > 3/2, theta > 0. The solutions obtained are non-radial

Infinitely many positive solutions for a Schrödinger-Poisson system

D'AVENIA, Pietro;POMPONIO, Alessio;
2011-01-01

Abstract

We are interested in the existence of infinitely many positive solutions of the Schrodinger-Poisson system {-Delta u + u + V(vertical bar z vertical bar phi u = vertical bar u vertical bar(p-1) u, x is an element of R(3) {(-)Delta phi = V(vertical bar x vertical bar)u(2), x is an element of R(3), where V(vertical bar x vertical bar) is a positive bounded function, 1 < p < 5 and V(r), r = vertical bar x vertical bar, has the following decay property: V(r) = a/r(m) + 0 (1/r(m+theta)) with a > 0, m > 3/2, theta > 0. The solutions obtained are non-radial
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/55693
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