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Multiplicity of 1D-concentrated positive solutions to the Dirichlet problem for an equation with \(p\)-Laplacian

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Publication:498573
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DOI10.1007/s10688-015-0099-7zbMath1326.35162arXiv1206.0787OpenAlexW1597250364MaRDI QIDQ498573

S. B. Kolonitskii

Publication date: 29 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0787

zbMATH Keywords

multiplicity of solutions\(p\)-Laplacian


Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)


Related Items

Abundance of entire solutions to nonlinear elliptic equations by the variational method, Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case



Cites Work

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  • A nonlinear boundary value problem with many positive solutions
  • Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
  • Existence of many positive solutions of semilinear equations on annulus
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