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- W2587210618 abstract "Abstract In this paper, we study the multiplicity of solutions for the following problem: $$begin{equation*} begin{cases} -Delta u-Delta(|u|^{alpha})|u|^{alpha-2}u=g(x,u)+theta h(x,u), xin Omega, u=0, xin partialOmega, end{cases} end{equation*}$$ where α ≥ 2, Ω is a smooth bounded domain in ${mathbb{R}}$ N , θ is a parameter and g , h ∈ C ( $bar{Omega}$ × ${mathbb{R}}$ ). Under the assumptions that g ( x , u ) is odd and locally superlinear at infinity in u , we prove that for any j ∈ $mathbb{N}$ there exists ϵ j > 0 such that if |θ| ≤ ϵ j , the above problem possesses at least j distinct solutions. Our results generalize some known results in the literature and are new even in the symmetric situation." @default.
- W2587210618 created "2017-02-17" @default.
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- W2587210618 date "2017-02-08" @default.
- W2587210618 modified "2023-09-22" @default.
- W2587210618 title "PERTURBATIONS FROM INDEFINITE SYMMETRIC ELLIPTIC BOUNDARY VALUE PROBLEMS" @default.
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- W2587210618 doi "https://doi.org/10.1017/s0017089516000446" @default.
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