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Multiple solutions for asymptotically ▫$(p-1)$▫-homogeneous ▫$p$▫-Laplacian equations
Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
We consider a nonlinear elliptic equation driven by the ▫$p$▫-Laplacian and with a reaction term which exhibits a ▫$(p-1)$▫-homogeneous growth both near ▫$\pm \infty$▫ and near zero. Using critical ...point theory with truncation techniques, the method of upper-lower solutions and Morse theory, we show that the problem has five nontrivial smooth solutions, four of which have constant sign (two positive and two negative).
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