On second order elliptic equations and variational inequalities with anisotropic principal operators
Słowa kluczowe
Anisotropic Orlicz-Sobolev space, variational inequality, inclusion, multivalued mappingAbstrakt
This paper is about boundary value problems of the form \begin{equation*} \begin{cases} -\mbox{\rm div} [\nabla \Phi(\nabla u)] = f(x,u) &\mbox{in } \Omega, \\ u=0 &\mbox{on } \partial\Omega, \end{cases} \end{equation*} where $\Phi$ is a convex function of $\xi\in \mathbb{R}^N$, rather than a function of the norm $|\xi|$. The problem is formulated appropriately in an anisotropic Orlicz-Sobolev space associated with $\Phi$. We study the existence of solutions and some other properties of the above problem and its corresponding variational inequality in such space.Pobrania
Opublikowane
2016-04-12
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1.
LE, Vy Khoi. On second order elliptic equations and variational inequalities with anisotropic principal operators. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 44, nr 1, s. 41–72. [udostępniono 22.7.2024].
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