Sentence examples for solutions for problem from inspiring English sources

We prove the existence of weak solutions for problem (E1)–(E2) when g is subcritical.

Now, we study the existence of solutions for problem (3.1).

We define lower and upper solutions for problem (3.1).

Now we prove the existence of solutions for problem (3.1).

In this section we study the existence of solutions for problem (1.1 - 1.2 1.1 - 1.2

In Section 4, we establish the existence and nonexistence of positive solutions for problem (1.1).

We now consider the existence of positive solutions for problem (1.1).

end{aligned} (2.4) Then we have the following uniqueness result of positive solutions for problem (1.3).

In Section 3 we discuss the existence theorem of solutions for problem (1.1).

They obtained the existence of solutions for problem (1.2) with a perturbation term.

It is easy to prove the uniqueness of the solutions for problem (1.1)–(1.1).