Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces
نویسندگان
چکیده
In this paper, we study the existence of least-energy nodal (sign-changing) weak solutions for a class fractional Orlicz equations given by ( − △ g ) α u + = K x f , in R N where ⩾ 3 is g-Laplace operator, while ∈ C 1 and positive continuous function. Under suitable conditions on K, prove compact embeddings result weighted Orlicz–Sobolev spaces. Next, minimization argument Nehari manifold quantitative deformation lemma, show at least one solution.
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2023
ISSN: ['0921-7134', '1875-8576']
DOI: https://doi.org/10.3233/asy-221770