The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach
In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and no...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Pergamon Press
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/44484 |
| Summary: | In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and non-decreasing function on [0,∞)[0,∞). We establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach. |
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