We are concerned with the positive weak large solutions for problem (1.1).
Specially, Cirstea et al. [17, 35 40] used the Karamata regular variation theory, nonlinear transformations, the perturbed method, the upper and lower solution method, and localization method to establish the first and second expansion of large solutions for problem (1.1) with (p=2), and Cirstea and Rădulescu [17] first introduced the set Λ.
Later, C Bandle et al. discussed the existence, uniqueness, and accurate estimate of boundary behavior of large solutions for problem (1.1) with (p=2) and (b(x)), (f u)) satisfying some proper conditions and obtained some better results dealing with a gradient term (see [4 40] and the references therein).
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The main problem with the HMM is the large solution space for the parameters defining the model.
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Genetic Algorithms have been chosen because they are particularly good for searching large solution spaces.
For the case of an intrinsically straight, twisted rod an exact large amplitude solution for bend shear waves is found.
However, we will rely on preservation of nodal properties for "large" solutions, encapsulated in the following result.
Two-dimensional large displacement solutions for the mode I stress intensity factor were derived using energy methods.
