We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies non-resonance conditions both at the origin and at infinity. Using variational meth- ods based on nonsmooth critical point theory (Clarke’s subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Hölder regularity.
Two solutions for fractional p-Laplacian inclusions under nonresonance
Antonio Iannizzotto
;
2018-01-01
Abstract
We study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies non-resonance conditions both at the origin and at infinity. Using variational meth- ods based on nonsmooth critical point theory (Clarke’s subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Hölder regularity.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Iannizzotto-Rocha-Santos EJDE.pdf
accesso aperto
Tipologia:
versione editoriale
Dimensione
264.7 kB
Formato
Adobe PDF
|
264.7 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
