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Global structure of one-sign solutions for problem with mean curvature operator

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We establish a unilateral global bifurcation result for the following problem where Ω is a bounded domain in . Based on this global bifurcation result, we also studied the global… Click to show full abstract

We establish a unilateral global bifurcation result for the following problem where Ω is a bounded domain in . Based on this global bifurcation result, we also studied the global structure of one-sign solutions according to different asymptotic behaviors (sublinear/linear/superlinear/jumping) nonlinearity near zero.

Keywords: one sign; sign solutions; global structure; structure one; problem

Journal Title: Nonlinearity
Year Published: 2018

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