Sentence examples for some preliminary knowledge from inspiring English sources

Exact(18)

First, we discuss some preliminary knowledge.

In Section 2, we give some preliminary knowledge.

In Section 2, we recall some preliminary knowledge about fuzzy inequality constraint linear programming.

In Section 2, we state some preliminary knowledge which is useful throughout the article.

In Section 2, we present some preliminary knowledge about Morse theory.

In this section, we recall some preliminary knowledge, such as the Reilly formula, for later use.

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In Section 2, we present some necessary preliminary knowledge on variable exponent Sobolev spaces.

In Section 2, we present some necessary preliminary knowledge of variable exponent Lebesgue and Sobolev spaces.

In Section 2, we present some necessary preliminary knowledge about the Lebesgue and Sobolev spaces with variable exponents, and present Ricceri's three-critical-points theorem.

In Section 2, we present some necessary preliminary knowledge on the weighted variable exponent Sobolev space and nonsmooth critical point theory.

This article is organized as follows: In Section 2, we present some necessary preliminary knowledge on variable exponent Sobolev spaces and the generalized gradient of the locally Lipschitz function; In Section 3, we give the variational principle which is needed in the sequel; In Section 4, using the critical point theory, we prove the existence and multiplicity results for problem (1.1).

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