Bifurcation results for quasi-linear operators from the Fucik spectrum\n of the Laplacian

2022/05/31 by Emmanuel Wend-Benedo Zongo, Zongo, Emmanuel Wend-Benedo
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2205.15708

openalex publication_date 2022/05/31 · openalex created_date 2022/11/21 · openalex updated_date 2026/07/28

Abstract

In this paper, we analyze an eigenvalue problem for a quasi-linear elliptic\noperators involving Dirichlet boundary condition in an open smooth bounded set\nof \ℝ^N. We investigate a bifurcation results (from trivial solution\nand from infinity) of an eigenvalue problem involving the (p,2)-Laplace\noperator, from the Fu v cik spectrum of the Laplacian.\n

Related

• Nonlinear eigenvalue problems and bifurcation for quasi-linear elliptic operators
• Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator
• The infinity-Fucik spectrum
• Generalized spectrum of the \boldsymbol(p,2)-Laplacian under a parametric boundary condition
• Vanishing properties of sign changing solutions to p-Laplace type equations in the plane