We investigate the existence and the multiplicity of solutions of the problem (Formula presented.) where Ω is a smooth, bounded domain of (Formula presented.), 1 < p < q < ∞, and the nonlinearity g behaves as uq − 1 at infinity. We use variational methods and find multiple solutions as minimax critical points of the associated energy functional. Under suitable assumptions on the nonlinearity, we cover also the resonant case.
Multiple solutions for asymptotically q-linear (p, q)-Laplacian problems / Colasuonno F.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - ELETTRONICO. - 45:14(2022), pp. 8655-8673. [10.1002/mma.7472]
Multiple solutions for asymptotically q-linear (p, q)-Laplacian problems
Colasuonno F.
2022
Abstract
We investigate the existence and the multiplicity of solutions of the problem (Formula presented.) where Ω is a smooth, bounded domain of (Formula presented.), 1 < p < q < ∞, and the nonlinearity g behaves as uq − 1 at infinity. We use variational methods and find multiple solutions as minimax critical points of the associated energy functional. Under suitable assumptions on the nonlinearity, we cover also the resonant case.| File | Dimensione | Formato | |
|---|---|---|---|
|
mma_ONLINE.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Creative commons
Dimensione
404.53 kB
Formato
Adobe PDF
|
404.53 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
