Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.
Bonanno, G., Livrea, R. (2003). Multiplicity theorems for the Dirichlet problem involving the p-Laplacian. NONLINEAR ANALYSIS, 54(1), 1-7 [10.1016/S0362-546X(03)00027-0].
Multiplicity theorems for the Dirichlet problem involving the p-Laplacian
Livrea, Roberto
2003-01-01
Abstract
Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.
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