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- W1930884602 abstract "We study the boundary behaviour of the solutions of (E) $$-Delta _p u+|nabla u|^q=0$$ in a domain $$Omega subset mathbb {R}^N$$ , when $$Nge p> q>p-1$$ . We show the existence of a critical exponent $$q_*<p$$ such that if $$p-1<q<q_*$$ there exist positive solutions of (E) with an isolated singularity on $$partial Omega $$ and that these solutions belong to two different classes of singular solutions. If $$q_*le q<p$$ no such solution exists and actually any boundary isolated singularity of a positive solution of (E) is removable. We prove that all the singular positive solutions are classified according the two types of singular solutions that we have constructed." @default.
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- W1930884602 date "2015-08-25" @default.
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- W1930884602 title "Boundary singularities of positive solutions of quasilinear Hamilton–Jacobi equations" @default.
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- W1930884602 doi "https://doi.org/10.1007/s00526-015-0911-5" @default.
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