Through variational methods, sub-supersolution and truncation techniques we prove the existence of three nontrivial solutions for a quasilinear elliptic equation with Neumann boundary condition. We provide sign information for each of these solutions: two of them are of opposite constant sign and the third one is sign changing.

Constant sign and sign-changing solutions for quasilinear elliptic equations with Neumann boundary condition

CANDITO, Pasquale
;
BARLETTA, Giuseppina
2014

Abstract

Through variational methods, sub-supersolution and truncation techniques we prove the existence of three nontrivial solutions for a quasilinear elliptic equation with Neumann boundary condition. We provide sign information for each of these solutions: two of them are of opposite constant sign and the third one is sign changing.
quasilinear elliptic equations, sub-supersolution, Neumann problem
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/2699
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