A multiplicity theorem for double phase degenerate Kirchhoff problems

DOI10.1016/j.aml.2023.108803zbMath1522.35249OpenAlexW4385325803WikidataQ123252572 ScholiaQ123252572MaRDI QIDQ6052201

Calogero Vetro, Sheng-Da Zeng, Jinxia Cen

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108803

zbMATH Keywords

Dirichlet problemexistencevariational methodsdouble phase problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Regularity for general functionals with double phase
• Constant sign solutions for double phase problems with variable exponents
• On critical double phase Kirchhoff problems with singular nonlinearity
• Existence and multiplicity results for Kirchhoff-type problems on a double-phase setting
• A new class of double phase variable exponent problems: existence and uniqueness
• Existence, uniqueness and asymptotic behavior of parametric anisotropic \((p, q)\)-equations with convection
• Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
• Regularity for double phase variational problems
• Continuous spectrum for a two phase eigenvalue problem with an indefinite and unbounded potential
• Existence and uniqueness results for double phase problems with convection term
• Asymmetric \(8(p,2)\)-equations with double resonance
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Double-phase problems and a discontinuity property of the spectrum
• Variational Methods
• On double phase Kirchhoff problems with singular nonlinearity