Open AccessOn the Harmonic Problem with Nonlinear Boundary Integral Conditions
Author(s) -
Hacene Saker
Publication year - 2014
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2014/976520
Subject(s) - uniqueness , boundary (topology) , nonlinear system , mathematics , integral equation , bounded function , domain (mathematical analysis) , mathematical analysis , harmonic , monotone polygon , algorithm , geometry , physics , quantum mechanics
In the present work, we deal with the harmonic problems in a bounded domain of ℝ2 with the nonlinear boundary integral conditions. After applying the Boundary integral method, a nonlinear boundary integral equation is obtained; the existence and uniqueness of the solution will be a consequence of applying theory of monotone operators
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