Infinitely Many Radially Symmetric Solutions for a Quasilinear Elliptic Problem in a Ball

On the multiplicity of radial solutions to superlinear Dirichlet problems in bounded domains

“…This result has been extended to the case of pLaplacian operators in [9] and to the case of even more general operators in [14]. We also quote the paper [6], where, by means of a topological degree approach, the authors give very precise results in the one-dimensional case.…”

“…[2,3,6,7,9,14,16,17]). Indeed, the study of superlinear equations has been faced by many authors and with very different methods; from a variational point of view, let us quote the very important papers [2,3,16,17].…”

“…The problem of finding radial solutions to elliptic equations in a ball has been considered by many authors, with different methods and techniques; without seek of completeness, we refer for instance to the papers [1,3,5,7,9,11,12,14,18].…”

Infinitely many radial solutions to a boundary value problem in a ball

“…Kurepa [9], C. K. R. T. Jones [26], M. Grillakis [23], Z. Guo [24], A. E1 Hachimi-F. De Thelin [15], Y. Cheng [10], A. Ambrosetti-J. Garcia Azorero-I.…”

An evolutionary weighted $p$-Laplacian with Neumann boundary value condition in a perforated domain

“…The main interest lies in the study of the asymptotic behavior of solutions when the radii of the small balls shrink to one point. From those works, see [13]- [17], a very important method in studying the properties of the solutions is firstly to discuss the radially symmetric steady solutions, which can be regarded as a special class of the problems in perforated domains.…”