EUDML

We study the nonlinear boundary value problem involving reflection of the argument $- M (\int_{- 1}^{1} {| u^{'} (s) |}^{2} d s) u^{''} (x) = f (x, u (x), u (- x)) x \in [- 1, 1],$ where $M$ and $f$ are continuous functions with $M > 0$ . Using Galerkin approximations combined with the Brouwer’s fixed point theorem we obtain existence and uniqueness results. A numerical algorithm is also presented.

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Global solutions for a nonlinear wave equation with the $p$ -Laplacian operator.

A transmission problem for beams on nonlinear supports.

Perturbations near resonance for the $p$ -Laplacian in $ℝ^{N}$ .

A note on the existence of two nontrivial solutions of a resonance problem.

Three solutions of a quasilinear elliptic problem near resonance

A nonlinear differential equation involving reflection of the argument