Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider a Modified Nonlinear Schrodinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on Rn(n≥3), where γ>12, qq is a nonnegative continuous function on Rn, FF is a continuous positive and non-decreasing function on [0,∞)[0,∞).  establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach.
['Xinguang Zhang', 'Lishan Liu', 'Yong Hong Wu']
I am writing a research paper on a idea The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach
[{"from": "human", "value": "I am writing a research paper on a idea The entire large solutions for a quasilinear Schr\u00f6dinger elliptic equation by the dual approach"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider a Modified Nonlinear Schrodinger equation \u0394u\u2212\u0394(|u|2\u03b3)|u|2\u03b3\u22122u=q(x)F(u)\u0394u\u2212\u0394(|u|2\u03b3)|u|2\u03b3\u22122u=q(x)F(u) on Rn(n\u22653), where \u03b3>12, qq is a nonnegative continuous function on Rn, FF is a continuous positive and non-decreasing function on [0,\u221e)[0,\u221e).  establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach."}]