Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\ldots ,p_n)\) -Laplacian

DOI10.1016/j.na.2007.11.038zbMath1161.35371OpenAlexW2475922782MaRDI QIDQ2518565

Shapour Heidarkhani, Ghasem Alizadeh Afrouzi

Publication date: 16 January 2009

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.2007.11.038

zbMATH Keywords

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

Mathematics Subject Classification ID

Related Items (16)

Existence of solutions for nonlinear Schrödinger systems with periodic data perturbations ⋮ Infinitely many solutions for class of Neumann quasilinear elliptic systems ⋮ Infinitely many weak solutions for a class of quasilinear elliptic systems ⋮ Ordinary \((p_1, \ldots, p_m)\)-Laplacian systems with mixed boundary value conditions ⋮ Existence, multiplicity and numerical examples for Schrödinger systems with nonstandard \(p(x)\)-growth conditions ⋮ Multiple solutions for a Neumann system involving subquadratic nonlinearities ⋮ A note on Tang and He's paper ⋮ Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Existence of three solutions for a Navier boundary value problem involving the \((p(x),q(x))\)-biharmonic ⋮ Existence of three solutions for a perturbed two-point boundary value problem ⋮ Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the \((p_{1},p_{2},\dots ,p_n)\)-Laplacian ⋮ Existence of three solutions for \((p, q)\)-biharmonic systems ⋮ Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\dots,p_n)\)-Laplacian ⋮ A three critical points theorem revisited ⋮ A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces

Cites Work

• Unnamed Item
• Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\)
• Three solutions for a Dirichlet boundary value problem involving the \(p\)-Laplacian
• Three solutions for a class of quasilinear elliptic systems involving the \((p,q)\)-Laplacian
• Three solutions for a quasilinear boundary value problem
• On positive radial entire solutions of second-order quasilinear elliptic systems.
• Existence of two nontrivial solutions for a class of elliptic eigenvalue problems
• Existence of three solutions for a two point boundary value problem
• On a three critical points theorem
• On some nonlinear elliptic systems
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Some remarks on a system of quasilinear elliptic equations
• Existence of three solutions for a quasilinear two point boundary value problem
• Existence of multiple solutions for quasilinear systems via fibering method
• Multiple nonsemitrivial solutions for quasilinear elliptic systems
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
• EXISTENCE OF TWO NON-TRIVIAL SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC VARIATIONAL SYSTEMS ON STRIP-LIKE DOMAINS
• Existence of three solutions for a class of elliptic eigenvalue problems
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems

This page was built for publication: Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\ldots ,p_n)\) -Laplacian