Abstract
We consider nonlinear elliptic equations driven by the p-Laplacian differential operator. Using degree theoretic arguments based on the degree map for operators of type (S)+ , we prove theorems on the existence of multiple nontrivial solutions of constant sign.
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Motreanu, D., Motreanu, V.V. & Papageorgiou, N.S. A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations. manuscripta math. 124, 507–531 (2007). https://doi.org/10.1007/s00229-007-0127-x
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DOI: https://doi.org/10.1007/s00229-007-0127-x