Ground state solutions for a diffusion system

Abstract

a b s t r a c tIn this paper, we study the following diffusion systemis a general periodic function. Under weaker conditions on nonlinearity, we establish the existence of ground state solutions via variational methods.

Stationary solutions for a superlinear Dirac equation

“…Therefore, from the aforementioned argument and Remark , we see that our results improve and generalize the result in by weakening the corresponding conditions. Recently, there have been some works focused on the existence of ground state solutions by using Non‐Nehari manifold method for Schrödinger equation, see for instance and the references therein.…”

Some new fuzzy fixed point theorems via distance functions with applications

“…Variational methods are used to prove the existence of solutions for differential equations [10,14,15,23,32,33,[35][36][37]. However, fixed point methods are studied by many scholars [12,13] in different spaces.…”

Ground state solutions of Nehari‐Pankov type for a superlinear elliptic system on

“…By applying the generalized linking theorems in [36], the existence of 'the least energy solutions' (i.e. a minimizer of the corresponding energy within the set of nontrivial solutions) or multiple solutions were obtained for problem (1) with periodic potential and nonlinearity, see [16,18,22,24,26,[28][29][30][31][38][39][40]. For the non-periodic case, we refer the readers to [20,21,25,32,41] and the references therein.…”