Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian
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Publication:2018525
DOI10.1016/j.na.2015.01.001zbMath1312.35118OpenAlexW2020751088MaRDI QIDQ2018525
Publication date: 24 March 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2015.01.001
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92) Strong solutions to PDEs (35D35)
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Pohozaev-type inequalities and their applications for elliptic equations, Existence, nonexistence, and asymptotic behavior of solutions for \(N\)-Laplacian equations involving critical exponential growth in the whole \({\mathbb{R}}^N\)
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