Existence and multiplicity of solutions for a prescribed mean-curvature problem with critical growth
In this work we study an existence and multiplicity of solutions for the prescribed mean-curvature problem with critical growth, $$\displaylines{ -\hbox{div}\Bigl(\frac{\nabla u}{\sqrt{1+|\nabla u|^{2}}}\Bigl) = \lambda |u|^{q-2}u+ |u|^{2^*-2}u \quad \text{in }\Omega \cr u = 0 \quad \text{on }...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/86/abstr.html |