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What is Nonlinear Eigenvalue Problems for p-Laplacian about?

This paper investigates nonlinear eigenvalue problems for the p-Laplace operator with various boundary conditions, demonstrating the existence of a nondecreasing sequence of nonnegative eigenvalues using the Ljusternik–Schnirelman principle. It establishes properties such as the simplicity and isolation of the principal eigenvalue and provides a characterization for the second eigenvalue. The study aims to unify the analysis of these problems and extend known results from the Dirichlet problem to other boun

Author

Tulio Vasconcelos

Language

EN