Multiple solutions for a (p, q)-Laplacian Steklov problem
Abstract
In this paper we study the existence of at least three nontrivial solutions for the nonlinear $(p,q)$-Laplacian problem, with nonlinear boundary conditions. We establish that there exist at least three non-zero solutions, under assumptions on the asymptotic behavior of the quotients $f(x,s)/|s|^{p-2}s$ and $pF(x,s)/|s|^{p}$ which extends the classical results with Dirichlet boundary conditions that for a.e. $x\in\partial\Omega$.
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PDFDOI: https://doi.org/10.52846/ami.v47i2.1295