Optimal \(W^{2,2}_{\text{loc}}\)-regularity, Pohozhaev's identity, and nonexistence of weak solutions to some quasilinear elliptic equations
From MaRDI portal
Publication:656188
DOI10.1016/j.jde.2011.10.020zbMath1235.35130OpenAlexW2031328668MaRDI QIDQ656188
Yavdat Sh. Il'yasov, Peter Takáč
Publication date: 16 January 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.020
optimal regularitydegenerate or singular elliptic problemnonexistence of phase transition solutionsPohozhaev's identity
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)
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