Geodesic
On Resonant (p,2)-Equations
Minimax theory and its applications, Tome 1 (2016) no. 1
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We consider a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p,2)-equation) with a Carath ́eodory reaction which at ±∞ is resonant with respect to the principal eigenvalue of the negative Dirichlet p-Laplacian. Using minimax methods based on the critical point theory, together with truncation techniques and Morse theory, we obtain multiplicity results producing three or four solutions with sign information (constant sign solutions and nodal solutions).
Mots-clés : Minimax characterization, nonlinear regularity, nonlinear maximum principle, nodal solutions, resonant equation 
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     author = {Giuseppina Barletta and Giuseppina D{\textquoteright}Agu`,Nikolaos S. Papageorgiou},
     title = {On {Resonant} {(p,2)-Equations}},
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     year = {2016},
     volume = {1},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2016_1_1_a5/}
}
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Giuseppina Barletta; Giuseppina D’Agu`,Nikolaos S. Papageorgiou. On Resonant (p,2)-Equations. Minimax theory and its applications, Tome 1 (2016) no. 1. http://geodesic.mathdoc.fr/item/MTA_2016_1_1_a5/