Nonexistence of positive solutions and oscillation criteria for second- order semilinear elliptic inequalities

DOI10.1007/BF00392029zbMath0831.35160OpenAlexW2036236795MaRDI QIDQ1894126

Hiroyuki Usami

Publication date: 15 February 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00392029

zbMATH Keywords

comparison theoremsasymptotic estimatessub- and supersolutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Partial differential inequalities and systems of partial differential inequalities (35R45) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (2)

Ordinary differential equations in the oscillation theory of partial half-linear differential equation ⋮ On second order damped elliptic oscillation

Cites Work

• Positive solutions of linear and quasilinear elliptic equations in unbounded domains
• Phragmén-Lindelöf theorems for nonlinear elliptic equations
• Nonexistence results of entire solutions for superlinear elliptic inequalities
• Bounded entire solutions of elliptic equations
• Oscillation Properties of Solutions of Second Order Elliptic Equations
• ON THE ASYMPTOTIC PROPERTIES AND NECESSARY CONDITIONS FOR EXISTENCE OF SOLUTIONS OF NONLINEAR SECOND ORDER ELLIPTIC EQUATIONS
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• Semilinear Second Order Elliptic Oscillation
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