Abstract
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
Original language | English (US) |
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Pages (from-to) | 3657-3662 |
Number of pages | 6 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 30 |
Issue number | 6 |
State | Published - Dec 1997 |
Externally published | Yes |
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Keywords
- Multiplicity of solutions
- Nonlinear Dirichlet problem
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Applied Mathematics
Cite this
On multiple solutions of a nonlinear Dirichlet problem. / Castro, Alfonso; Cossio, Jorge; Neuberger, John M.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 30, No. 6, 12.1997, p. 3657-3662.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On multiple solutions of a nonlinear Dirichlet problem
AU - Castro, Alfonso
AU - Cossio, Jorge
AU - Neuberger, John M
PY - 1997/12
Y1 - 1997/12
N2 - We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
AB - We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
KW - Multiplicity of solutions
KW - Nonlinear Dirichlet problem
UR - http://www.scopus.com/inward/record.url?scp=0001130594&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001130594&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0001130594
VL - 30
SP - 3657
EP - 3662
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 6
ER -