Existence of multiple positive solutions for a truncated Kirchhoff-type system involving weight functions and concave-convex nonlinearities

DOI10.1186/s13662-020-02556-6zbMath1482.35095OpenAlexW3032645835MaRDI QIDQ2057435

Qing-Jun Lou, Yupeng Qin

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02556-6

zbMATH Keywords

multiple positive solutionsNehari manifoldKirchhoff system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Existence of multiple solutions for a quasilinear elliptic system involving sign-changing weight functions and variable exponent

Cites Work

• Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
• Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions
• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications
• Multiplicity of solutions for a class of Kirchhoff type problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• On the variational principle
• Minimax theorems
• Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
• Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
• A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• Infinitely many positive solutions for Kirchhoff-type problems
• A Kirchhoff‐type equation involving critical exponent and sign‐changing weight functions in dimension four
• Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents
• On harnack type inequalities and their application to quasilinear elliptic equations

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