Abstract
By means of a penalization scheme due to del Pino and Felmer, we prove the existence of
single-peaked solutions for a class of singularly perturbed quasilinear elliptic equations associated
with functionals which lack of smoothness. We do not require neither uniqueness assumptions
on the limiting autonomous equation nor monotonicity conditions on the nonlinearity. Compared
with the semilinear case some diculties arise and the study of concentration of the solutions
needs a somewhat involved analysis in which the Pucci–Serrin variational identity plays an
important role
Lingua originale | Inglese |
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pagine (da-a) | 1307-1336 |
Numero di pagine | 30 |
Rivista | NONLINEAR ANALYSIS |
Volume | 54 |
DOI | |
Stato di pubblicazione | Pubblicato - 2003 |
Keywords
- spike solutions