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- W2976003265 abstract "In this paper, we study the existence of infinitely many nontrivial solutions of the semilinear $Delta_{gamma}$ differential equations in $mathbb{R}^N$ $$ - Delta_{gamma}u+ b(x)u=f(x,u)quad mbox{ in }; mathbb{R}^N, quad u in S^2_{gamma}(mathbb{R}^N), $$ where $Delta_{gamma}$ is the subelliptic operator of the type $$Delta_gamma: =sumlimits_{j=1}^{N}partial_{x_j} left(gamma_j^2 partial_{x_j} right), quad partial_{x_j}: =frac{partial }{partial x_{j}},quad gamma = (gamma_1, gamma_2, ..., gamma_N),$$ and the potential $b$ is allowed to be sign-changing, and the primitive of the nonlinearity $f$ is of superquadratic growth near infinity in $u$ and allowed to be sign-changing." @default.
- W2976003265 created "2019-10-03" @default.
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- W2976003265 date "2019-01-01" @default.
- W2976003265 modified "2023-09-23" @default.
- W2976003265 title "Multiple Solutions for Semilinear $Delta_{gamma}-$differential Equations in $mathbb R^N$ with Sign-changing Potential" @default.
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