Solutions with prescribed number of nodes to superlinear elliptic systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 55, Issue 6, 2003, Pages 707-722

  Cao, Daomin ^a   Tang, Zhongwei ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Critical point; Nodal solutions; Superlinear elliptic systems; Variational method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; THEOREM PROVING;

ELLIPTIC SYSTEMS;

NONLINEAR EQUATIONS;

EID: 0142106995     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2003.07.014     Document Type: Article

References (8)

1. Atkinson F.V., Brezis H., Peletier L.A. Nodal solutions of elliptic equations with critical Sobolev exponent. J. Differential Equations. 85:1990;151-170.
2. N Arch. Rational Mech. Anal. 124:1993;261-276.
3. Cao D., Zhu X.P. On the existence and nodal character of solutions of semilinear elliptic equations. Acta Math. Sci. 8:1988;345-359.
4. Cerami G., Solimini S., Struwe M. Some existence results for superlinear elliptic boundary value problems involving critical exponents. J. Funct. Anal. 69:1986;289-306.
5. Nehari Z. Characteristic values associated with a class of nonlinear second differential equations. Acta Math. 105:1961;141-175.
6. Strauss W.A. Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55:1977;149-162.
7. Z.W. Tang, Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms, preprint.
8. Terracini S., Verzini G. Solutions of prescribed number of zeroes to a class of superlinear ODE's systems. Nonlinear Differential Equations Appl. 8:2001;323-341.