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Existence of solutions for prescribed variable exponent mean curvature system boundary value problems. (English) Zbl 1181.34027

Some existence results for the usual mean curvature systems are generalized to variable exponent mean curvature systems by the Leray-Schauder degree theorem. Sufficient conditions for the existence of solutions to the variable exponent mean curvature systems are given. Asymptotic behavior of solutions are discussed.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
47H11 Degree theory for nonlinear operators
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