Existence of solutions of anisotropic elliptic equations with variable indices of nonlinearity in \(\mathbb{R}^N\)
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Publication:2044840
DOI10.1007/s10958-021-05469-1zbMath1472.35130OpenAlexW3192877499MaRDI QIDQ2044840
A. Sh. Kamaletdinov, L. M. Kozhevnikova
Publication date: 10 August 2021
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-021-05469-1
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Cites Work
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- Lebesgue and Sobolev spaces with variable exponents
- Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
- On well-posedness of boundary problems for elliptic equations in general anisotropic Lebesgue-Sobolev spaces
- Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
- Anisotropic variable exponent Sobolev spaces and -Laplacian equations
- Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains
- Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
- Gradient estimates for the p(x)-Laplacian equation in RN
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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