Nonlinear Neumann problems driven by a nonhomogeneous differential operator

作者：Bisci Giovanni Molica^*; Repovs Dusan

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2014, 57(1): 13-25.

• Three weak solutions
• Variational methods
• Divergence type equations

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.

• 出版日期2014