
The author studies the generalized Hénon equation with radial coefficient function in the unit ball and shows the existence of positive non-radial solutions. Some sufficient conditions are provided when a least energy solution of the problem is not radially symmetric.
Variational methods for second-order elliptic equations, least energy solution, Least energy solution, Non-radial solution, Positive solutions to PDEs, Variational method, Nonlinear elliptic equations, variational method, Positive solution, Hénon equation, non-radial solution, Boundary value problems for second-order elliptic equations, positive solution, Analysis
Variational methods for second-order elliptic equations, least energy solution, Least energy solution, Non-radial solution, Positive solutions to PDEs, Variational method, Nonlinear elliptic equations, variational method, Positive solution, Hénon equation, non-radial solution, Boundary value problems for second-order elliptic equations, positive solution, Analysis
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