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  • Constant sign and nodal solutions for superlinear double phase problems
    Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
    We consider a double phase problems with unbalanced growth and a superlinear reaction, which need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools and the Nehari method, we ... show that the Dirichlet problem has at least three nontrivial solutions, a positive solution, a negative solution and a nodal solution. The nodal solution has exactly two nodal domains.
    Source: Advances in calculus of variations. - ISSN 1864-8258 (Vol. 14, iss. 4, 2021, str. 613-626)
    Type of material - article, component part ; adult, serious
    Publish date - 2021
    Language - english
    COBISS.SI-ID - 18824537