Some Nonlinear Fourth-Order Boundary Value Problems at Nonresonance
نویسندگان
چکیده
This work is devoted to study the existence and the regularity of solutions of two nonlinear problems of fourth order governed by p-biharmonic operators in nonresonance cases. In the first problem we establish the nonresonance part of the Fredholm alternative. In the second problem, nonresonance relative to the first eigenvalue is considered for p = 2 at the case where the nonresonance is between two consecutive eigenvalues. AMS Subject Classifications: 35J60, 35J25, 35J65.
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