Abstract
Abstract We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator which incorporates the p-Laplacian as special case. The reaction f ( z , x ) ${f(z,x)}$ is a Carathéodory function which need not satisfy a global growth condition and is only assumed to be odd near zero. Using variational tools, we show that the problem has a whole sequence of distinct nodal (that is, sign-changing) solutions.
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