Inverse coefficient problems for nonlinear elliptic equations
Keyword(s):
AbstractThis 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.
2010 ◽
Vol 27
(1)
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pp. 85-92
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2013 ◽
Vol 49
(12)
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pp. 1560-1568
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2013 ◽
Vol 49
(8)
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pp. 996-1005
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2021 ◽
Vol 125
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pp. 124-134