Sentence examples for by using the linking from inspiring English sources
By using the linking theorem twice to the corresponding functional, they established the existence results.
In this paper, the existence of at least one nontrivial solution for a class of semilinear elliptic equations on R N is established by using the linking methods.
Recently, some authors had improved Ambrosetti-Rabinowitz condition by using the linking theorem; for example, see Schechter and Zou [21] and Chen and Ma [22].
Then, by using the linking theorem, we obtain the existence of critical points of J. Finally, an example is given to illustrate our results.
In [9] Yuan and Ou proved the same conclusions as in [2] by using the linking theorem over cones by Degiovanni and Lancelotti (see [18]), where the eigenvalues of (-Delta_{p}) are defined by the (Z_{2} -cohomological index.
In this paper, the existence of at least one nontrivial solution for a class of fourth-order elliptic equations with the Navier boundary value conditions is established by using the linking methods.
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Proposed idea is the evaluation of mechanical stress state of a concrete body (instead of steel cables) via ultrasonic non-destructive evaluation (NDE), by using the link between ultrasonic velocities and mechanical stresses provided by the acoustoelasticity theory.
The assay included histone peptides with 384 permutations, including single or multiple combinations of PTMs on specific amino acid residues (a comprehensive list of all the PTM modifications can be accessed by using the link: https://www.activemotif.com/catalog/668/modified-histone-peptide-array and downloading the excel file).
