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We consider a parametric nonlinear Dirichlet equation driven by the sum of a p-Laplacian and a q-Laplacian (1 0 of (-ₚ, W^1, p₀ () ). Using critical point theory, truncation and comparison techniques and critical groups (Morse theory), we show that for all small values of the parameter >0, the problem has at least five nontrivial solutions, four of constant sign (two positive and two negative) and the fifth nodal (sign-changing).
Gasiński et al. (Tue,) studied this question.
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