On the asymptotic behavior of certain solutions of the Dirichlet problem for the equation \({-\Delta_pu=\lambda| u|^{q-2}u}\)

DOI10.1007/s00605-013-0550-xzbMath1281.35013OpenAlexW62881076MaRDI QIDQ382219

Giovanni Anello, Giuseppe Cordaro

Publication date: 18 November 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0550-x

zbMATH Keywords

asymptotic behaviorpositive solutionsvariational methodselliptic boundary value problemsnodal solutionsminimal energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

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Cites Work

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• On the asymptotics of solutions of the Lane-Emden problem for the \(p\)-Laplacian
• On the Dirichlet problem involving the equation \(-\Delta _pu=\lambda u^{s - 1}\)
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• On the asymptotic behaviors of the positive solution of \(\Delta_p u+| u|^{q-2}u=0\).
• Boundary regularity for solutions of degenerate elliptic equations
• On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent
• A note on the asymptotic behavior of positive solutions for some elliptic equation