Starting from a new sum decomposition of W-1,W-p(R-N) boolean AND W-1,W-q(R-N) and using a variational approach, we investigate the existence of multiple weak solutions of a (p, q)-Laplacian equation on R-N, for 1 < q < p < N, with a sign-changing potential and a Caratheodory reaction term satisfying the celebrated Ambrosetti-Rabinowitz condition. Our assumptions are mild and different from those used in related papers and moreover our results improve or complement previous ones for the single p-Laplacian.
On a class of superlinear (p,q)-Laplacian type equations on R^N / Bartolo, Rossella; Candela, A. M.; Salvatore, A.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 438:1(2016), pp. 29-41. [10.1016/j.jmaa.2016.01.049]
On a class of superlinear (p,q)-Laplacian type equations on R^N
BARTOLO, Rossella;
2016-01-01
Abstract
Starting from a new sum decomposition of W-1,W-p(R-N) boolean AND W-1,W-q(R-N) and using a variational approach, we investigate the existence of multiple weak solutions of a (p, q)-Laplacian equation on R-N, for 1 < q < p < N, with a sign-changing potential and a Caratheodory reaction term satisfying the celebrated Ambrosetti-Rabinowitz condition. Our assumptions are mild and different from those used in related papers and moreover our results improve or complement previous ones for the single p-Laplacian.| File | Dimensione | Formato | |
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