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Minimax Theory and its Applications 02 (2017), No. 1, 027--040
Copyright Heldermann Verlag 2017

Nodal Solutions Bifurcating from Infinity for some Singular p-Laplace Equations: Flat and Compact Support Solutions

Jesús I. Díaz
Instituto de Matemática Interdisciplinar, Universidad Complutense, Plaza de las Ciencias 3, 28040 Madrid, Spain

Jesús Hernández
Don Ramón de la Cruz 73-7A, 28001 Madrid, Spain

Francisco J. Mancebo
E.T.S. Ingeniería Aeronáutica, Universidad Politécnica, 28040 Madrid, Spain

We study the existence and multiplicity of nodal solutions with normal exterior derivative different or equal to zero (case of \textit{flat solutions}) or having a \textit{free boundary} (the boundary of the set where the solution vanishes) of some one-dimensional p-Laplace problems of eigenvalue type with homogeneous Dirichlet boundary conditions and a, possibly singular, nonlinear absorption term.

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