A remark on the existence and multiplicity result for a nonlinear elliptic problem involving the \(p\)-Laplacian

DOI10.1007/s00030-009-0031-zzbMath1179.35150OpenAlexW2126299483MaRDI QIDQ1049599

Ghasem Alizadeh Afrouzi, Sayyed Hashem Rasouli

Publication date: 13 January 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0031-z

zbMATH Keywords

critical pointsnonlinear elliptic problem\(p\)-LaplacianNehari manifold

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Multiple existence results of solutions for quasilinear elliptic equations with a nonlinearity depending on a parameter ⋮ A variational approach to a quasilinear multiparameter elliptic system involving the \(p\)-Laplacian and nonlinear boundary condition ⋮ Multiple solutions to the nonhomogeneous \(p\)-Kirchhoff elliptic equation with concave-convex nonlinearities ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

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