In this work we give a non decreasing sequence of positive eigenvalues of the weighted p-biharmonic operator with weight and with Navier boundary conditions, then we study the simplicity and the isolation of the first positive eigenvalue. Finally, we study the one dimensional case.
Mathematics Subject Classification (2000). Primary 35P30; Secondary 34C23.
Abstract. We are concerned with the existence of solution for the Dirichlet problem x,u) lies in some sense between the first and the second eigenvalues of the p-Laplacian p . Extensions to more general operators which are (p − 1)-homogeneous at infinity are also considered.2000 Mathematics Subject Classification. 35J65.
This paper is concerned with the existence and multiplicity of solutions for a class of p(x)-Kirchhoff type equations with Neumann boundary condition. Our technical approach is based on variational methods.
This paper studies the existence of infinitely many solutions for a fourth-order Kirchhoff type elliptic problem () ∫ Our technical approach is based on Ricceri's principle variational.
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