Mathematical Journal of Ibaraki University
Online ISSN : 1883-4353
Print ISSN : 1343-3636
ISSN-L : 1343-3636
Criterion toward understanding non-constant solutions to p-Laplace Neumann boundary value problem
Kanako Suzuki
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ジャーナル フリー

2020 å¹´ 52 å·» p. 1-13

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We consider a p-Laplace equation ∆pV + h(V) = 0, with an arbitrary C1-nonlinearity h, in a bounded domain and supplemented with the Neumann boundary condition. We prove a necessary condition for zeros of h = h(V) to be touched by non-constant solutions to this problem.

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© 2020 Department of Mathematics, Faculty of Science, Ibaraki University
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