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- W2515293825 abstract "In this paper, we study the existence of infinitely many solutions for the quasilinear Schrodinger equations $$ begin{cases} -Delta u-Delta(|u|^{alpha})|u|^{alpha-2}u=g(x,u)+h(x,u) &text{for } xin Omega, u=0 &text{for } xin partialOmega, end{cases} $$ where $alphageq 2$, $g, hin C(Omegatimes mathbb{R}, mathbb{R})$. When $g$ is of superlinear growth at infinity in $u$ and $h$ is not odd in $u$, the existence of infinitely many solutions is proved in spite of the lack of the symmetry of this problem, by using the dual approach and Rabinowitz perturbation method. Our results generalize some known results and are new even in the symmetric situation." @default.
- W2515293825 created "2016-09-16" @default.
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- W2515293825 date "2016-09-02" @default.
- W2515293825 modified "2023-09-22" @default.
- W2515293825 title "Infinitely many solutions for quasilinear Schrödinger equations under broken symmetry situation" @default.
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- W2515293825 doi "https://doi.org/10.12775/tmna.2016.057" @default.
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