Soohyun Bae

Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on R n

Abstract. The existence/nonexistence question is studied for the inhomogeneous elliptic equation

Separation structure of positive radial solutions of a semilinear elliptic equation in Rn

\Delta u + u^p +\mu f(x)=0

Existence of nodal solutions of nonlinear elliptic equations

in

Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation

{\bf R}^n

Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in Rn

. In particular, we establish that the above equation possesses infinitely many positive entire solutions for small

On a Class of Semilinear Elliptic Equations in Rn

\mu>0

Asymptotic behavior of positive solutions of inhomogeneous semilinear elliptic equations

provided that

Nonexistence of nodal solutions of nonlinear elliptic equations

n\geq11

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, p is large enough, and the locally Hölder continuous function f satisfies suitable decay conditions at

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\infty