Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators

DOI10.1007/S00009-022-02015-4zbMath1489.35126arXiv2011.05461OpenAlexW3103851047MaRDI QIDQ2120551

Emmanuel Wend-Benedo Zongo, Bernhard Ruf

Publication date: 1 April 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05461

zbMATH Keywords

existencebifurcationvariational methods\(p\)-Laplacianquasi-linear equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties and applications related to the \((2,p)\)-Laplacian operator
• Semilinear elliptic equations for beginners. Existence results via the variational approach
• An eigenvalue problem possessing a continuous family of eigenvalues plus an isolated eigenvalue
• On positive solutions for \((p,q)\)-Laplace equations with two parameters
• Multiplicity of solutions for a superlinear \(p\)-Laplacian equation
• Regularity for a more general class of quasilinear equations
• Solitons in several space dimensions: Derrick's problem and infinitely many solutions
• Remarks on minimizers for \((p,q)\)-Laplace equations with two parameters
• Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations
• On the set of eigenvalues of some PDEs with homogeneous Neumann boundary condition
• On bifurcation from infinity
• Continuous spectrum for a class of nonhomogeneous differential operators
• Eigenvalue problems for the \(p\)-Laplacian
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"
• Notes on the Stationary p-Laplace Equation
• Methods in Nonlinear Analysis
• Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity

This page was built for publication: Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators