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<f>W1,p</f> versus <f>C1</f> local minimizers and multiplicity results for quasilinear elliptic equations
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2003, Vol. 286 Issue 1, p32. 19p. - Publication Year :
- 2003
-
Abstract
- In this paper we show that the local minimizers of a class of functionals in the <f>C1</f>-topology are still their local minimizers in <f>W1,p0(Ω)</f>. Using this fact, we study the multiplicity of solutions for a class of quasilinear elliptic equations via critical point theory. [Copyright &y& Elsevier]
- Subjects :
- *TOPOLOGY
*FUNCTIONALS
*QUASILINEARIZATION
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 286
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 10861348
- Full Text :
- https://doi.org/10.1016/S0022-247X(03)00282-8