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Existence of solutions for singular double phase problems via the Nehari manifold method

Liu, Wulong; Dai, Guowei; Papageorgiou, Nikolaos S.; Winkert, Patrick

In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term. Based on the fibering method by using the Nehari manifold we are going to prove the existence of at least two weak solutions for such problems when the parameter is sufficiently small.
Published in: Analysis and Mathematical Physics, 10.1007/s13324-022-00686-6, Springer Nature