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The paper investigates parametrized problems involving non-compact perturbations of coercive functionals in Hilbert spaces, focusing on the existence and multiplicity of solutions for equations of the form K(u) - J(u) - λΦ(u) = 0. It combines variational properties of the energy functional with an analysis of its fibers, particularly in the context of Kirchhoff type operators and critical nonlinearity. The authors provide results on global and local minimizers, as well as mountain pass solutions, under vari

Author

antonyjohnny987

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EN