We consider a semilinear Neumann problem with convection. We assume that the drift coefficient is indefinite. Using the theory of nonlinear operators of monotone type, together with truncation and comparison techniques and flow invariance arguments, we prove a multiplicity theorem producing three nontrivial smooth solutions (positive, negative and nodal).
Papageorgiou N.S., Vetro C., Vetro F. (2020). Multiple solutions with sign information for semilinear Neumann problems with convection. REVISTA MATEMATICA COMPLUTENSE, 33(1), 19-38 [10.1007/s13163-019-00312-3].
Multiple solutions with sign information for semilinear Neumann problems with convection
Vetro C.;
2020-01-01
Abstract
We consider a semilinear Neumann problem with convection. We assume that the drift coefficient is indefinite. Using the theory of nonlinear operators of monotone type, together with truncation and comparison techniques and flow invariance arguments, we prove a multiplicity theorem producing three nontrivial smooth solutions (positive, negative and nodal).
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