Nonconvex variational problems with general singular perturbations
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- by Nicholas C. Owen PDF
- Trans. Amer. Math. Soc. 310 (1988), 393-404 Request permission
Abstract:
We study the effect of a general singular perturbation on a nonconvex variational problem with infinitely many solutions. Using a scaling argument and the theory of $\Gamma$-convergence of nonlinear functionals, we show that if the solutions of the perturbed problem converge in ${L^1}$ as the perturbation parameter goes to zero, then the limit function satisfies a classical minimal surface problem.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 310 (1988), 393-404
- MSC: Primary 49A50; Secondary 49F10, 58E15, 73C60, 73K05
- DOI: https://doi.org/10.1090/S0002-9947-1988-0965760-9
- MathSciNet review: 965760