Chao JI - Academia.edu (original) (raw)

Chao JI

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Papers by Chao JI

Research paper thumbnail of Ground State Solutions for Quasilinear Schrödinger Equations with Periodic Potential

This article concerns the quasilinear Schrödinger equation −∆u− u∆(u) + V (x)u = K(x)|u|2·2 −2u +... more This article concerns the quasilinear Schrödinger equation −∆u− u∆(u) + V (x)u = K(x)|u|2·2 −2u + g(x, u), x ∈ R , u ∈ H(R ), u > 0, where V and K are positive, continuous and periodic functions, g(x, u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy.

Research paper thumbnail of Ground State Solutions for Quasilinear Schrödinger Equations with Periodic Potential

This article concerns the quasilinear Schrödinger equation −∆u− u∆(u) + V (x)u = K(x)|u|2·2 −2u +... more This article concerns the quasilinear Schrödinger equation −∆u− u∆(u) + V (x)u = K(x)|u|2·2 −2u + g(x, u), x ∈ R , u ∈ H(R ), u > 0, where V and K are positive, continuous and periodic functions, g(x, u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy.

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