Existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents
The aim of this article is to study the existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents. Our main tool are the well known Mountain Pass Theorem and its $\mathbb{Z} _2$-symmetric version.
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| Format: | Article |
| Language: | English |
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Texas State University
2015-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/73/abstr.html |