A boundary value problem on the unit disk in R2 is considered, involving an elliptic operator with a singular weight of logarithmic type and nonlinearities which are subcritical or critical with respect to the as- sociated gradient norm. The existence of non-trivial solutions is proved, relying on variational methods. In the critical case, the associated ener- gy functional is non-compact. A suitable asymptotic condition allows to avoid the non-compactness levels of the functional.
Elliptic equations in dimension 2 with double exponential nonlinearities / M. Calanchi, B. Ruf, F. Sani. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 24:3(2017 Jun), pp. 29.1-29.18.
Titolo: | Elliptic equations in dimension 2 with double exponential nonlinearities | |
Autori: | CALANCHI, MARTA (Primo) RUF, BERNHARD (Secondo) SANI, FEDERICA (Ultimo) | |
Parole Chiave: | Trudinger–Moser type inequalities; Critical exponents | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Data di pubblicazione: | giu-2017 | |
Rivista: | ||
Tipologia: | Article (author) | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00030-017-0453-y | |
Appare nelle tipologie: | 01 - Articolo su periodico |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
10.1007_s00030-017-0453-y.pdf | Publisher's version/PDF | Administrator Richiedi una copia |