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oai:riuma.uma.es:10630/136082026-02-03T12:12:38Zcom_10630_2254col_10630_37959

00925njm 22002777a 4500 dc Bartolo, Rossella author 2017-05-09 Start ing from a new sum decomposit ion of W1,p(RN ) ∩W1,q(RN ) and using a variat ional approach, we invest igate the existence of mult ipleweak solut ions of a (p, q)–Laplacian equat ion on RN , for 1 < q < p < N , with a sign–changing potent ial and a Carath´eodory react ion term sat isfying the celebrated Ambroset t i– Rabinowitz condit ion. Our assumpt ions are mild and different from those used in related papers and moreover our results improve or complement previous ones for the single p–Laplacian. 1 http://hdl.handle.net/10630/13608 Ecuaciones diferenciales Recent results on (p,q)-Laplacian type equations