Solutions of semilinear elliptic equations in tubes

DOI10.1007/s12220-012-9342-0zbMath1304.35307arXiv1210.1705OpenAlexW2007948078MaRDI QIDQ472011

Filomena Pacella, Frank Pacard, Berardino Sciunzi

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1705

zbMATH Keywords

semilinear elliptic equationsupercritical nonlinearityPohozaev identity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on manifolds (35R01)

Related Items (6)

On the moving plane method for singular solutions to semilinear elliptic equations ⋮ Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents ⋮ A weak comparison principle in tubular neighbourhoods of embedded manifolds ⋮ Monotonicity and symmetry of singular solutions to quasilinear problems ⋮ Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions ⋮ Bubble Concentration on Spheres for Supercritical Elliptic Problems

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