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Normalized solutions to a critical growth Choquard equation involving mixed operators.
- Source :
-
Asymptotic Analysis . Aug2024, p1-34. 34p. - Publication Year :
- 2024
-
Abstract
- In this paper we study the existence and regularity results of normalized solutions to the following critical growth Choquard equation with mixed diffusion type operators: − Δ u + ( − Δ ) s u = λ u + g ( u ) + ( I α ∗ | u | 2 α ∗ ) | u | 2 α ∗ − 2 u in  R N , ∫ R N | u | 2 d x = τ 2 , where N ⩾ 3, τ > 0, I α is the Riesz potential of order α ∈ ( 0 , N ), ( − Δ ) s is the fractional laplacian operator, 2 α ∗ = N + α N − 2 is the critical exponent with respect to the Hardy Littlewood Sobolev inequality, <italic>λ</italic> appears as a Lagrange multiplier and <italic>g</italic> is a real valued function satisfying some L 2 -supercritical conditions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN operator
*HEAT equation
*EQUATIONS
*LAGRANGE multiplier
Subjects
Details
- Language :
- English
- ISSN :
- 09217134
- Database :
- Academic Search Index
- Journal :
- Asymptotic Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 179092628
- Full Text :
- https://doi.org/10.3233/asy-241933