ON A CLASS OF NON-LOCAL ELLIPTIC EQUATIONS WITH ASYMPTOTICALLY LINEAR TERM
被引:5
作者:
Wei, Yuanhong
论文数: 0引用数: 0
h-index: 0
机构:
Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R ChinaJilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
Wei, Yuanhong
[1
]
Su, Xifeng
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Sch Math Sci, 19 XinJieKouWai St, Beijing 100875, Peoples R ChinaJilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
Su, Xifeng
[2
]
机构:
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, 19 XinJieKouWai St, Beijing 100875, Peoples R China
We consider the nonlinear elliptic PDE driven by the fractional Laplacian with asymptotically linear term. Some results regarding existence and multiplicity of non-trivial solutions are obtained. More precisely, information about multiple non-trivial solutions is given under some hypotheses of asymptotically linear condition; non-local elliptic equations with combined nonlinearities are also studied, and some results of local existence and global existence are obtained. Finally, an L-infinity regularity result is also given in the appendix, using the De Giorgi-Stampacchia iteration method.
机构:
Univ Texas Austin, Dept Math, Austin, TX 78712 USAUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
Caffarelli, Luis
Valdinoci, Enrico
论文数: 0引用数: 0
h-index: 0
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
机构:
Univ Texas Austin, Dept Math, Austin, TX 78712 USAUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
Caffarelli, Luis
Valdinoci, Enrico
论文数: 0引用数: 0
h-index: 0
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy