Minimax Principles for critical-point Theory in Applications to Quasilinear Boundary-value Problems
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Using the variational method developed by the same author in , we establish the existence of solutions to the equation -∆pu = ƒ(x, u) with Dirichlet boundary conditions. Here ∆p denotes the p-Laplacian and ʃs0 ƒ(x, t) dt is assumed to lie between the first two eigenvalues of the p-Laplacian.
CitationEl Amrouss, A. R., & Moussaoui, M. (2000). Minimax principles for critical-point theory in applications to quasilinear boundary-value problems. Electronic Journal of Differential Equations, 2000(18), pp. 1-9.
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