We study a nonlinear parametric Neumann problem driven by a nonhomogeneous quasilinear elliptic differential operator div(a(x, del u)), a special case of which is the p-Laplacian. The reaction term is a nonlinearity function f which exhibits (p-1)-subcritical growth. By using variational methods, we prove a multiplicity result on the existence of weak solutions for such problems. An explicit example of an application is also presented.
Nonlinear Neumann problems driven by a nonhomogeneous differential operator
Molica Bisci G
;
2014
Abstract
We study a nonlinear parametric Neumann problem driven by a nonhomogeneous quasilinear elliptic differential operator div(a(x, del u)), a special case of which is the p-Laplacian. The reaction term is a nonlinearity function f which exhibits (p-1)-subcritical growth. By using variational methods, we prove a multiplicity result on the existence of weak solutions for such problems. An explicit example of an application is also presented.File in questo prodotto:
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