MULTIPLICITY RESULTS FOR GROUND STATE SOLUTIONS OF A SEMILINEAR EQUATION VIA ABRUPT CHANGES IN MAGNITUDE OF THE NONLINEARITY
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Date
2022
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Abstract
Given k is an element of N, we define a class of continuous piecewise functions f having abrupt but controlled magnitude changes so that the problem Delta u + f (u) = 0, x is an element of RN, N > 2, has at least k radially symmetric positive solutions.
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Keywords
Multiplicity, ground states, initial value problem, semilinear, elliptic