Existence of solutions for some nonlinear beam equations.

We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

Nonlinear Neumann boundary value problem with $φ$ -Laplacian.

Bereanu, Cristian, Mawhin, Jean (2004)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Existence theorems for nonlinear operator equation $L u + N u = f$ and some properties of the set of its solutions

Boris Rudolf (1992)

Mathematica Slovaca

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Nonlinear Neumann boundary value problem with $φ$ -Laplacian.

Existence theorems for nonlinear operator equation $L u + N u = f$ and some properties of the set of its solutions