Article citationsMore>>

Candela, A.M. and Palmieri, G. (2009) Infinitely Many Solutions of Some Nonlinear Variational Equations. Calculus of Variations and Partial Differential Equations, 34, 495-530.
https://doi.org/10.1007/s00526-008-0193-2

has been cited by the following article:

• TITLE: Existence and Concentration of Sign-Changing Solutions of Quasilinear Choquard Equation

  AUTHORS: Die Wang, Yuqi Wang, Shaoxiong Chen

  KEYWORDS: Quasilinear Choquard Equation, The Method of Invariant Sets of Descending Flow, Truncation, Sign-Changing Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 28, 2023

  ABSTRACT: In this paper, we study the following quasilinear equation of choquard type: where A(x,t) is given real functions on RN × R and with N ≥ 3, 1 p N, max{N-2p,1} α N, , and ε > 0 is a small parameter, Iα is the Riesz potential. We establish for small ε the existence of a sequence of sign-changing solutions concentrating near a given local minimum point of the bounded potential function V by using the method of invariant sets of descending flow, perturbation method and truncation technique.