Inverse coefficient problems for nonlinear elliptic equations

• Autores: Runsheng Yang, Yunhua Ou
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 2, 2007, págs. 271-279
• Idioma: inglés
• DOI: 10.1017/s1446181100012839
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• Resumen

  • This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic equations. The unknown coefficient of the elliptic equations depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic equations are uniquely solvable for the given class of coefficients. Proof of the existence of a quasisolution of the inverse problems is obtained.