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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.
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참고문헌 (15)
참고문헌 신청
A. Ambrosetti / 1973 / Dual variational methods in critical point theory and applications / J. Funct. Anal 14 : 349 ~ 381
B. Barrios / 2012 / On some critical problems for the fractional Laplacian operator / J. Differential Equations 252 (11) : 6133 ~ 6162
B. Zhang / 2015 / Superlinear nonlocal fractional problems with infinitely many solutions / Nonlinearity 28 (7) : 2247 ~ 2264
C. Bai / 2013 / Existence results for non-local operators of elliptic type / Nonlinear Anal 83 : 82 ~ 90
E. Di Nezza / 2012 / Hitchhiker’s guide to the fractional Sobolev spaces / Bull. Sci. Math 136 (5) : 521 ~ 573
B. Barrios / 2012 / On some critical problems for the fractional Laplacian operator / J. Differential Equations 252 (11) : 6133 ~ 6162
B. Zhang / 2015 / Superlinear nonlocal fractional problems with infinitely many solutions / Nonlinearity 28 (7) : 2247 ~ 2264
C. Bai / 2013 / Existence results for non-local operators of elliptic type / Nonlinear Anal 83 : 82 ~ 90
E. Di Nezza / 2012 / Hitchhiker’s guide to the fractional Sobolev spaces / Bull. Sci. Math 136 (5) : 521 ~ 573
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