Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\dots,p_n)\)-Laplacian

DOI10.1016/j.na.2010.06.038zbMath1196.35081OpenAlexW1987954029MaRDI QIDQ988149

Shapour Heidarkhani, Ghasem Alizadeh Afrouzi

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.038

zbMATH Keywords

Dirichlet problemcritical pointmultiplicity resultsthree solutions(\(p_{1}, \dots ,p_n\))-Laplacian

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Existence of positive solutions for a quasilinear elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Multiple solutions for a Neumann system involving subquadratic nonlinearities ⋮ Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach

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