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So begins the hunt for new methods of sub-90nm scale lithography.
In a randomized split plot block design, three methods of canopy treatment (selective felling, selective girdling and untreated control) were combined with two methods of sub-canopy treatment (slashing woody stems or untreated control) and seedlings from four dipterocarp species were used for under-planting.
whose method of sub- and supersolution has been developed in [7, Chapter 5].
The aim of this paper is to establish the method of sub- and supersolutions for problem (1.1).
The method of sub- and supersolution for this kind of problems is a special case of [5].
Applying the method of sub- and supersolution (see [28]) corresponding to the order interval provides the existence of a smallest positive solution of problem (1.1) fulfilling.
By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Existence results for variational-hemivariational inequalities with or without the method of sub- and supersolutions have been obtained under different structure and regularity conditions on the nonlinear functions by various authors.
The existence of a solution is guaranteed via the method of sub- and supersolution if, among other assumptions, the functions a and b considered are C 1 sign-changing functions that may be negative near the boundary and the positive nonlinearities f and g are supposed to be C 1 and nondecreasing.
Our results are obtained via the method of sub-super solutions.
They got the existence and multiplicity of positive solutions result for some combined sublinear condition by the method of sub-super solutions.
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