Second Existence Theorem for a Class of Variational Equations with Non-Coercive Main Part

Luisa Toscano

doi:10.15866/iremos.v12i5.18515

Second Existence Theorem for a Class of Variational Equations with Non-Coercive Main Part

Luisa Toscano^(1*)

^(*) Corresponding author

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DOI: https://doi.org/10.15866/iremos.v12i5.18515

Abstract

By using “the fibering idea”, we have established a second existence theorem for the equation ∂A(u) = ∑_j=1^m[∂D_j(u)] where A (main part) and D_j are non-negative functionals defined in a real and reflexive Banach space and they fulfill certain conditions with A non-coercive and ∂ is the Fréchet differential operator. Moreover, we analyze this equation in some concrete cases.
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Keywords

Variational Equations; Fibering Idea; Lagrange Multipliers

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References

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