A Multiplicity Theorem for Superlinear Double Phase Problems
Keyword(s):
We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition. Using the Nehari manifold, we show that the problem has at least three nontrivial bounded solutions: nodal, positive and by the symmetry of the behaviour at +∞ and −∞ also negative.
2014 ◽
Vol 526
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pp. 177-181
2008 ◽
Vol 50
(2)
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pp. 335-349
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2010 ◽
Vol 47
(4)
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pp. 845-860
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2018 ◽
Vol 97
(1)
◽
pp. 67-90
Keyword(s):