Critical groups and multiple solutions for Kirchhoff type equations with critical exponents
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Publication:5159133
DOI10.1142/S0219199720500315zbMath1476.58014OpenAlexW3043668011MaRDI QIDQ5159133
Binlin Zhang, Jiabao Su, Ming-Zheng Sun
Publication date: 26 October 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199720500315
Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Resonance in context of PDEs (35B34)
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Cites Work
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- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Multiplicity results for the Kirchhoff type equations with critical growth
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Existence of entire solutions for a class of quasilinear elliptic equations
- Some qualitative results of the critical groups for the \(p\)-Laplacian equations
- Nontrivial solutions of Kirchhoff type problems
- Existence and multiplicity of solutions for Kirchhoff type equations
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Existence results of positive solutions of Kirchhoff type problems
- Existence and multiplicity of solutions for Kirchhoff-type equation with radial potentials in \(\mathbb{R}^{3}\)
- Multiple solutions of superlinear elliptic equations
- Nontrivial solutions of a class of nonlocal problems via local linking theory
- Regularity for a more general class of quasilinear equations
- Critical point theory and Hamiltonian systems
- The Conley index and the critical groups via an extension of Gromoll-Meyer theory
- Remarks on the resonant elliptic problem.
- Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems
- Infinite dimensional Morse theory and multiple solution problems
- Applications of local linking to critical point theory
- Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.
- Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent
- Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent
- Nonexistence and existence of positive solutions for the Kirchhoff type equation
- Infinitely many solutions for critical degenerate Kirchhoff type equations involving the fractional \(p\)-Laplacian
- Critical groups at zero and multiple solutions for a quasilinear elliptic equation
- Morse index and critical groups for \(p\)-Laplace equations with critical exponents
- Multiplicity results for nonlocal fractional \(p\)-Kirchhoff equations via Morse theory
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
- On a \(p\)-Kirchhoff problem involving a critical nonlinearity
- On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method
- Notes on the bifurcation theorem
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- A critical Kirchhoff type problem involving a nonlocal operator
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
- Positive solutions of Kirchhoff-type non-local elliptic equation: a bifurcation approach
- Methods in Nonlinear Analysis
- Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
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