<p>We study the behavior near the boundary angular or conical point of weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the anisotropic variable <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\vec {p}(x)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mover accent="true"> <mi>p</mi> <mo stretchy="false">→</mo> </mover> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>-Laplacian.</p>

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The Robin problem for the anisotropic \(\vec {p}(x)\)-Laplacian equation in a domain with boundary conical points.

  • Mikhail Borsuk

摘要

We study the behavior near the boundary angular or conical point of weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the anisotropic variable \(\vec {p}(x)\) p ( x ) -Laplacian.