Acta mathematica scientia, Series B >
BOUND STATES FOR A CLASS OF QUASILINEAR SCALAR FIELD EQUATIONS WITH POTENTIALS VANISHING AT INFINITY
Received date: 2011-10-16
Online published: 2012-01-20
We study the existence and non-existence of bound states (i.e., solutions in W1, p (RN )) for a class of quasilinear scalar field equations of the form
-?pu+V(x)|u| p-2u = a(x)|u| q-2u, x ∈ RN , 1 < p < N,
when the potentials V(·) 0 and a(·) decay to zero at infinity.
Athanasios N. Lyberopoulos . BOUND STATES FOR A CLASS OF QUASILINEAR SCALAR FIELD EQUATIONS WITH POTENTIALS VANISHING AT INFINITY[J]. Acta mathematica scientia, Series B, 2012 , 32(1) : 197 -208 . DOI: 10.1016/S0252-9602(12)60012-5
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