Nodal solutions for some nonlinear elliptic equations

DOI10.1016/J.AMC.2006.08.003zbMath1143.35330OpenAlexW2024828430MaRDI QIDQ876636

Mohamed Lakdar Ben Mohamed, Anouar Ben Mabrouk

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.003

zbMATH Keywords

elliptic equationsnodal solutionsSturm comparison theoremBrezis-Nirenberg equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (6)

Lyapunov type operators for numerical solutions of PDEs ⋮ Finite difference approximate solutions for a mixed sub-superlinear equation ⋮ Mixed concave-convex sub-superlinear Schrödinger equation: survey and development of some new cases ⋮ A linearized finite-difference method for the solution of some mixed concave and convex non-linear problems ⋮ Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem ⋮ Classification and simulation of chaotic behaviour of the solutions of a mixed nonlinear Schrödinger system

Cites Work

• Unnamed Item
• Classification of positive solutions of quasilinear elliptic equations
• Classification of the solutions of semilinear elliptic problems in a ball
• Nodal solutions for a sublinear elliptic equation
• Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Nonlinear elliptic boundary-value problems in unbounded domains
• Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations

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