Fourth order elliptic equation involving sign-changing weight function in \(\mathbb{R}^N\)

DOI10.1007/s10883-023-09647-zOpenAlexW4367844794MaRDI QIDQ6186678

Haibo Chen, Zijian Wu

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-023-09647-z

zbMATH Keywords

existenceNehari manifoldfourth order elliptic equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)

Cites Work

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• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• On some fractional equations with convex-concave and logistic-type nonlinearities
• A global multiplicity result for \(N\)-Laplacian with critical nonlinearity of concave-convex type
• Combined effects of concave and convex nonlinearities in elliptic equation on \(\mathbb R^N\)
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity
• Exact multiplicity of positive solutions for a class of semilinear problem. II
• On the variational principle
• On uniqueness of positive solutions for a class of semilinear equations.
• Minimax theorems
• On the number of positive solutions of some semilinear Dirichlet problems in a ball
• Existence of solutions for fourth order elliptic equations of Kirchhoff type
• Solutions for fourth order elliptic equations on \(\mathbb{R}^N\) involving \(u \Delta(u^{2})\) and sign-changing potentials
• On the shape of least‐energy solutions to a semilinear Neumann problem

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