上面的方程是物理学中很重要的一类方程。关于该方程的详细的物理背景,近年

The above equation is a very important type of equation in physics. With regard to the detailed physical background of the equation, in recent years, the equation has attracted the attention of mathematicians. Many researchers have used critical point theoretical knowledge to obtain a series of good solution existence results. In these research results, consider the existence of the solution of f in subcritical, supercritical and critical situations

The above equation is an important class of equations in physics. Regarding the detailed physical background of the equation, in recent years, the equation has attracted the attention of mathematicians, and many researchers have obtained a series of good solution almanoe results by using the theoretical knowledge of the critical point. In these research results, the existential results of f solution in the case of subcritical, supercritical and critical are considered. ...

The above equations are very important in physics. About the detailed physical background of the equation, in recent years, the equation has attracted the attention of mathematical scholars. Many researchers have obtained a series of good results of solution existence by using the critical point theory. In these results, the existence of solutions of F in subcritical, supercritical and critical cases is considered<br>