Study on a class of Schrödinger elliptic system involving a nonlinear operator

Abstract

This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions. Secondly, by using the iterative technique and the method of contradiction, we prove the existence and nonexistence of the entire positive blow-up radial solutions. Our results extend the previous existence and nonexistence results for both the single equation and systems. In the end, we give two examples to illustrate our results.

New Results on the Radial Solutions to a Class of Nonlinear k -Hessian System

“…As a continuation of previous work, in this paper, by employing monotone iterative method, we establish some new existence results on positive radial solutions of the k-Hessian system (8) under the cases of finite, infinite, and semifinite. For details of the monotone iterative method, see [1,7,8,[33][34][35][36]. In addition, our results complement the work in [1] and extend works of many authors in [7, 8, 15-17, 37, 38].…”

Study of fuzzy fractional order diffusion problem under the Mittag-Leffler Kernel Law

“…Therefore, this field has been given much interest by the researchers and lot of research papers, monograph, and books etc. have been published in previous several years which included many investigations about different aspects like existence theory and analytical results etc (we refer [1][2][3][4][5][6][7][8][9][10][11]). Various mathematical models have been investigated by fractional order which provides information about real world problems between two integer values as in [12][13][14][15][16][17].…”