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

Squassina, M., Spike solutions for a class of singularly perturbed quasilinear elliptic equations, <<NONLINEAR ANALYSIS>>, 2003; 54 (N/A): 1307-1336 [http://hdl.handle.net/10807/91318]

Spike solutions for a class of singularly perturbed quasilinear elliptic equations

Squassina, Marco
Primo
2003

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
Inglese
Squassina, M., Spike solutions for a class of singularly perturbed quasilinear elliptic equations, <<NONLINEAR ANALYSIS>>, 2003; 54 (N/A): 1307-1336 [http://hdl.handle.net/10807/91318]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/91318
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