engleski

Selection of minimizers for one-dimensional Ginzburg-Landau functional with 3-well potential by singular lower-order term

We consider a variant of the Ginzburg-Landau type functional in one dimension with 3-well potential, penalized by lowerorder term which has singularity in one of the zeros of the potential function. Based on the approach developed in the paper G. Alberti, S. Muller: A new approach to variational problems with multiple scales, Comm. Pure Appl. Math. 54, 761-825 (2001), we obtain Gamma-convergence and provide description of the minimizers as small parameter epsilon tends to zero. We show that introduction of singular lower- order term results in appropriate selection of the minimizers

ngular perturbation, Young measures, minimization

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