Supported by the National Natural Science Foundation of China(No.10901126 and 11201355)
In this paper,we consider the inequality estimates of the positive solutions for the inhomogeneous biharmonic equation■-△^2u+u^p+f(x)=0 in R^n where △^2 is the biharmonic operator,p>1,n≥5 and 0≡f∈C(R^n)is a give...
Supported by the Natural Science Foundation of China(10901126)
The existence and uniqueness of singular solutions decaying like r^-m(see (1.4)) of the equation △u+k∑i=1ci|x|liupi=0,x∈R^N are obtained, wheren≥3, ci 〉0, li〉-2, i=1,2,..,k, pi〉 1, i=l,2,-..,kandthe sepa...
Supported by the Natural Science Foundation of China(10901126)
The asymptotic behavior at infinity and an estimate of positive radial solutions of the equation △u + sum from i=1 to k cirli upi = 0, x ∈ Rn,(0.1)are obtained and the structure of separation property of positive...