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This paper deals with the existence and nonexistence of global positive solutions for two evolution P-Laplacian equations in exterior domains with inhomogeneous boundary conditions. We demonstrate that qc=n(p−1)/(n−p) is its critical exponent provided 2n/(n+1)<p<n. Furthermore, we prove that if max{1,p−1}<q≤qc, then every positive solution of the equations blows up in finite time; whereas...
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