논문KCI 등재
Multiplicity of solutions for a class of non-local elliptic operators systems
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.
Abstract
In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.
참고문헌 (15)
- G. A. Afrouzi, "Existence of multiple solutions for a class of (p, q)-Laplacian systems", Nonlinear Anal, 72(5), pp.2243~2250 (2010)
- A. Ambrosetti, "Dual variational methods in critical point theory and applications", J. Funct. Anal, 14, pp.349~381 (1973)
- C. Bai, "Existence results for non-local operators of elliptic type", Nonlinear Anal, 83, pp.82~90 (2013)
- B. Barrios, "On some critical problems for the fractional Laplacian operator", J. Differential Equations, 252(11), pp.6133~6162 (2012)
- K. Bogdan, "Po-tential Analysis of Stable Processes and Its Extensions" (2009), Springer
- G. Molica Bisci, "Fractional equations with bounded primitive", Appl. Math. Lett, 27, pp.53~58 (2014)
- L. A. Caffarelli, "Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian", Invent. Math, 171(2), pp.425~461 (2008)
- S. Dipierro, "A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian", J. Differential Equations, 255(1), pp.85~119 (2013)
- P. Drabek, "Bifurcation problems for the p-Laplacian in RN", Trans. Amer. Math. Soc, 349(1), pp.171~188 (1977)
- E. Di Nezza, "Hitchhiker’s guide to the fractional Sobolev spaces", Bull. Sci. Math, 136(5), pp.521~573 (2012)
- M. Kwa´snicki, "Eigenvalues of the fractional Laplace operator in the interval", J. Funct. Anal, 262(5), pp.2379~2402 (2012)
- R. Servadei, "Mountain Pass solutions for non-local elliptic operators", J. Math. Anal. Appl, 389(2), pp.887~898 (2012)
- R. Servadei, "Variational methods for non-local operators of elliptic type", Discrete Contin. Dyn. Syst, 33(5), pp.2105~2137 (2013)
- J. Tan, "The Brezis-Nirenberg type problem involving the square root of the Laplacian", Calc. Var. Partial Differential Equations, 36(1-2), pp.21~41 (2011)
- B. Zhang, "Superlinear nonlocal fractional problems with infinitely many solutions", Nonlinearity, 28(7), pp.2247~2264 (2015)
관련 논문AI추천
Three nontrivial nonnegative solutions for some critical p-Laplacian systems with lower-order negative perturbationsChang-Mu Chu, Chun-Yu Lei, Hong-Min Suo, Jiao-Jiao Sun대한수학회 · 대한수학회보2017 · 제54권 제1호Multiplicity of solutions of elliptic system using two critical point theorem남혜원강원경기수학회 · 한국수학논문집2017 · 제25권 제4호On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chung대한수학회 · 대한수학회논문집2014 · 제29권 제1호Existence and multiplicity of solutions for discontinuous non-local fractional elliptic problemsJing Zhao, Ziqing Yuan대한수학회 · 대한수학회지2025 · 제62권 제3호Nontrivial solutions for an elliptic system남혜원, 이성철강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents정택선, 최규흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호
이 간행물의 다른 논문 (23건)
A construction of two-weight codes and its applicationsTatsuya Maruta, 김선정, 이남영, Yuuki Kageyama, 전은주pp. 731-736Existence theorem for non-Abelian vortices in the Aharony-Bergman-Jafferis-Maldacena theoryMeili Zhu, Ruifeng Zhangpp. 737-746Multiplication operators on weighted Banach spaces of a treeIsaac M. Craig, Robert F. Allenpp. 747-761On the minimum weight of a 3-connected 1-planar graphZai Ping Lu, Ning Songpp. 763-787Mathieu-type series built by (p, q)-extended Gaussian hypergeometric functionRakesh Kumar Parmar, 최준상, Tibor K. Poganypp. 789-797