Constant sign and sign changing solutions for systems of quasilinear elliptic equations

DOI10.1007/s11228-010-0142-zzbMath1221.35139OpenAlexW1970701195MaRDI QIDQ542107

Motreanu, Dumitru, Zhi-tao Zhang

Publication date: 8 June 2011

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-010-0142-z

zbMATH Keywords

comparisontruncationquasilinear elliptic systemcritical pointconstant sign solutionssub-supersolutionsign changing solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods for elliptic systems (35J50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Nonzero positive weak solutions of systems of \(p\)-Laplace equations ⋮ Nontrivial solutions for a quasilinear elliptic system ⋮ Multiple solutions for nonvariational quasilinear elliptic systems ⋮ Unnamed Item ⋮ Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of pseudo-gradient vector field and sign-changing multiple solutions involving \(p\)-Laplacian
• Existence results for some nonlinear elliptic systems
• A unified approach for multiple constant sign and nodal solutions
• Ambrosetti-Prodi-type problems for quasilinear elliptic problems.
• Multiple nontrivial solutions of Neumann \(p\)-Laplacian systems
• Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities
• Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
• Sign-changing and multiple solutions for the \(p\)-Laplacian
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• A strong maximum principle for some quasilinear elliptic equations
• Constant-sign and sign-changing solutions for nonlinear eigenvalue problems
• Vector quasi-hemivariational inequalities and discontinuous elliptic systems
• MULTIPLE SOLUTIONS FOR A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY
• MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN

This page was built for publication: Constant sign and sign changing solutions for systems of quasilinear elliptic equations