Sign-changing and multiple solutions for the \(p\)-Laplacian. (English) Zbl 1106.35308

Summary: We obtain a positive solution, a negative solution, and a sign-changing solution for a class of \(p\)-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.


35J65 Nonlinear boundary value problems for linear elliptic equations
35J20 Variational methods for second-order elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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