We consider a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p,2)-equation) with a Carathéodory reaction which at±∞ is resonant with respect to the principal eigenvalue of the negative Dirichletp-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 (constantsign solutions and nodal solutions).
On Resonant(p,2)-Equations / Barletta, Giuseppina; D'Aguì, G; Papageorgiou, N. - In: MINIMAX THEORY AND ITS APPLICATIONS. - ISSN 2199-1413. - 1:1(2016), pp. 83-109.
On Resonant(p,2)-Equations
BARLETTA, Giuseppina;
2016-01-01
Abstract
We consider a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p,2)-equation) with a Carathéodory reaction which at±∞ is resonant with respect to the principal eigenvalue of the negative Dirichletp-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 (constantsign solutions and nodal solutions).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
