Three solutions for a class of quasilinear elliptic systems in Orlicz–Sobolev spaces

DOI10.1080/17476933.2011.652954zbMath1280.35043OpenAlexW2142030788MaRDI QIDQ2855435

Mounir Bezzarga, Olfa Allegue

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.652954

zbMATH Keywords

Orlicz-Sobolev spacenonlinear eigenvalue problemnonhomogeneous differential operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Applications of functional analysis to differential and integral equations (46N20) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Infinitely many solutions for nonlocal elliptic systems in Orlicz-Sobolev spaces

Cites Work

• Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces
• On the isometries of certain function-spaces
• A three critical points theorem revisited
• Existence of three solutions for a class of quasilinear elliptic systems involving the \((p(x),q(x))\)-Laplacian
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• Two non-trivial solutions for a non-homogeneous Neumann problem: an Orlicz–Sobolev space setting
• Existence of three solutions for a class of elliptic eigenvalue problems

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