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Quasilinearity below the 1st eigenvalue
Author(s):
Victor
L.
Shapiro
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1955-1962.
MSC (2000):
Primary 35J60;
Secondary 35J35
Posted:
February 15, 2001
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Abstract:
This paper establishes the existence of two nontrivial weak solutions for a quasilinear Dirichlet problem below the first eigenvalue via the mountain pass theorem.
References:
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Additional Information:
Victor
L.
Shapiro
Affiliation:
Department of Mathematics, University of California, Riverside, California 92521-0135
Email:
shapiro@math.ucr.edu
DOI:
10.1090/S0002-9939-01-06124-X
PII:
S 0002-9939(01)06124-X
Keywords:
Quasilinear variational,
first eigenvalue,
mountain pass theorem,
near $p$-homogeneous.
Received by editor(s):
September 7, 1999
Posted:
February 15, 2001
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2001,
American Mathematical Society
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