Multiple solutions for an inhomogeneous semilinear elliptic equation in R
نویسندگان
چکیده
In this paper, we will investigate the existence of multiple solutions for the general inhomogeneous elliptic problem − u+ u = f (x, u) + μh (x) , x ∈ R , u ∈ H (RN) , (1.1)μ where h ∈ H−1 (RN), N ≥ 2, |f (x, u)| ≤ C1up−1 + C2u with C1 > 0, C2 ∈ [0, 1) being some constants and 2 < p < +∞. ∗Research supported in part by the Natural Science Foundation of China and NSEC †Research supported in part by the Natural Science Foundation of China and NSEC ‡Research supported in part by the University of Iowa, Department of Mathematics Summer Research Fellowship
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