Existence and concentration of nodal solutions to a class of quasilinear problems
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Quasilinear equation, variational methods, behaviour of solutionsAbstrakt
The existence and concentration behavior of nodal solutions are established for the equation $-\varepsilon^{p} \Delta_{p}u + V(z)|u|^{p-2}u=f(u)$ in $\Omega$, where $\Omega$ is a domain in ${\mathbb R}^{N}$, not necessarily bounded, $V$ is a positive Hölder continuous function and $f\in C^{1}$ is a function having subcritical growth.Pobrania
Opublikowane
2007-06-01
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1.
ALVES, Claudianor O. & FIGUEIREDO, Giovany M. Existence and concentration of nodal solutions to a class of quasilinear problems. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2007, T. 29, nr 2, s. 279–293. [udostępniono 22.7.2024].
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