Browsing by Subject "Critical exponent"
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(European Mathematical Society, 2020)Let Omega be a smooth bounded domain in R-n, n >= 5. We consider the classical semilinear heat equation at the critical Sobolev exponent. ut =Delta u + un+2/n-2 in Omega x (0, infinity), u = 0 on partial derivative Omega ...
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(Elsevier, 2017)We consider the following slightly subcritical problem ((sic)epsilon) { -Delta u = beta(x)vertical bar u vertical bar(p-1-epsilon) u in Omega, u = 0 on partial derivative Omega, where Omega is a smooth bounded ...