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The absence of global positive solutions of systems of semilinear elliptic inequalities in cones

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Publication:2759287
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DOI10.1070/IM2000v064n06ABEH000313zbMath1013.35041MaRDI QIDQ2759287

Gennady G. Laptev

Publication date: 3 January 2002

Published in: Izvestiya: Mathematics (Search for Journal in Brave)


zbMATH Keywords

critical exponent


Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)


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Comparison theorems for second-order elliptic inequalities ⋮ Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains. ⋮ Partial differential equations. Transl. from the Russian ⋮ A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system ⋮ Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems ⋮ Existence and nonexistence results for reaction-diffusion equations in product of cones



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