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  • Research Article
  • Open Access

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Journal of Inequalities and Applications20062006:52378

  • Received: 24 February 2004
  • Accepted: 13 April 2004
  • Published:


Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. Oscillation results are also obtained for forced superlinear elliptic equations and superlinear-sublinear elliptic equations.


  • Elliptic Equation
  • Comparison Theorem
  • Nonlinear Elliptic Equation
  • Linear Elliptic Equation
  • Oscillation Result


Authors’ Affiliations

Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Bratislava, 842 15, Slovakia
Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-0180, Japan
Department of Mathematics, Faculty of Science, University of Toyama, Toyama 930-8555, Japan


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© Hindawi Publishing Corporation. 2006

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