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Limit behavior of solutions to equivalued surface boundary value problem for \(p\)-Laplacian equations. II. (English) Zbl 1103.35304

Summary: In this paper (which is a continuation of Part I [Math. Methods Appl. Sci. 23, No. 8, 723–733 (2000; Zbl 0951.35047)]), we discuss the limit behaviour of solutions to boundary value problems with equivalued surfaces for \(p\)-Laplacian equations in the case of \(1<p\leq2-1/N\) when the equivalued surface boundary shrinks to a point in a certain way.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Citations:

Zbl 0951.35047
Full Text: DOI

References:

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