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Title
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Existence result of bounded variation solution for a perturbed 1−Laplacian and 1−biharmonic problem with vanishing potentials
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Type
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JournalPaper
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Keywords
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1-Biharmonic operator · Mountain pass theorem · Variational methods · Nehari method
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Abstract
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This work focuses on the investigation of a quasilinear elliptic problem in the entire space RN , which involves the 1-Laplacian and 1-biharmonic operators, as well as potentials that can vanish at infinity. This research is conducted within the space of functions with bounded variation. The main result is proven using a version of the mountain pass theorem that does not require the Palais-Smale condition.
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Researchers
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Mohsen Alimohammady (Second Researcher), Mahsa Amooie (First Researcher)
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