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Before starting, we find useful to establish some notation.
To simplify the description of that characterization, we first establish some notation.
The following lemma is straightforward, but we supply a proof to establish some notation.
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We first establish some important notations.
In Section 2, we shall recall some notation and establish some preliminary lemmas.
Before stating our results, we need to introduce some notation and establish some important propositions and lemmas.
This paper is divided into three sections organized as follows: In the 'Notations and preliminaries,' we establish some elementary results.
In this section, we introduce some notations and the variational framework for (1.1) and establish some decomposition of the space to apply the link theorem.
Establish some rules.
After recalling some notation and establishing some preliminary lemmas, we will prove Theorem 1.1 in Section 2. And the proof of Theorem 1.2 will be given in Section 3. We remark that our some ideas in the proofs of our main results are taken from [3, 9, 11, 17], but our methods and technique are more delicate and complex than those used in [3, 9, 11, 17].
We first give some notation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com