A critical point theorem for perturbed functionals and low perturbations of differential and nonlocal systems (Q783325)
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scientific article; zbMATH DE number 7232947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A critical point theorem for perturbed functionals and low perturbations of differential and nonlocal systems |
scientific article; zbMATH DE number 7232947 |
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A critical point theorem for perturbed functionals and low perturbations of differential and nonlocal systems (English)
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12 August 2020
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The authors establish a new critical point theorem for a class of perturbed differentiable functionals which fail to satisfy the Palais-Smale condition. In case of small perturbations the existence of at least one critical point to such functionals is obtained. The main abstract result of this paper is applied both to perturbed nonhomogeneous equations in Orlicz-Sobolev spaces and to nonlocal problems in fractional Sobolev spaces.
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critical point theorem
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perturbed functional
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Orlicz-Sobolev space
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fractional Sobolev space
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existence of solutions
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