Advances in Differential Equations and Control Processes
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Abstract: In
this paper, we prove existence of a weak solution to a coupled mixed problem in
the class of systems of nonlinear Klein-Gordon equations in the form:
(1)
where A is
the pseudo-Laplacian and is the Laplacian operator. In a way,
it can be seen as a generalization of the nonlinear Klein-Gordon equations.
Keywords and phrases: p-Laplacian, compactness method, monotone operators.
