Maximal existence domains of positive solutions for two-parametric systems of elliptic equations

DOI10.1080/17476933.2015.1107905zbMath1342.35100arXiv1406.5275OpenAlexW3105854575MaRDI QIDQ2811290

Vladimir Bobkov, Yavdat Sh. Il'yasov

Publication date: 10 June 2016

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

Full work available at URL: https://arxiv.org/abs/1406.5275

zbMATH Keywords

\(p\)-LaplacianNehari manifoldindefinite nonlinearitysystem of elliptic equationsfibering method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) PDEs with low regular coefficients and/or low regular data (35R05) Blow-up in context of PDEs (35B44)

Related Items (8)

On positive solutions for \((p,q)\)-Laplace equations with two parameters ⋮ A finding of the maximal saddle-node bifurcation for systems of differential equations ⋮ Extremal regions and multiplicity of positive solutions for singular superlinear elliptic systems with indefinite-sign potential ⋮ Multiple nonsemitrivial solutions for quasilinear elliptic systems via associated eigenvalue problems ⋮ Rayleigh quotients of the level set manifolds related to the nonlinear PDE ⋮ The first eigenvalue and eigenfunction of a nonlinear elliptic system ⋮ On the extremal parameters curve of a quasilinear elliptic system of differential equations ⋮ Finding Saddle-Node Bifurcations via a Nonlinear Generalized Collatz–Wielandt Formula

Cites Work

• Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket
• On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method
• Infinitely many weak solutions for a class of quasilinear elliptic systems
• A duality principle corresponding to the parabolic equations
• On semilinear elliptic equations with indefinite nonlinearities
• Existence of multiple solutions for quasilinear systems via fibering method
• A strong maximum principle for some quasilinear elliptic equations
• On the generalized Apostol-type Frobenius-Euler polynomials
• Bifurcation calculus by the extended functional method
• Existence of multiple positive solutions for a \(p\)-Laplacian system with sign-changing weight functions
• Positive solutions of indefinite equations withp-Laplacian and supercritical nonlinearity
• Boundary regularity for solutions of degenerate elliptic equations
• A Picone's identity for the p-Laplacian and applications
• Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
• On a 𝑝-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory
• Non-local investigation of bifurcations of solutions of non-linear elliptic equations
• Multiple solutions for a class of (p, q)-gradient elliptic systems via a fibering method
• Unnamed Item
• Unnamed Item

This page was built for publication: Maximal existence domains of positive solutions for two-parametric systems of elliptic equations