Lack of coercivity for N-Laplace equation with critical exponential nonlinearities in a bounded domain
In this article, we study the existence and multiplicity of non-negative solutions of the $N$-Laplacian equation $$\displaylines{ -\Delta_N u+V(x)|u|^{N-2}u = \lambda h(x)|u|^{q-1}u+ u|u|^{p} e^{|u|^{\beta}} \quad \text{in }\Omega \cr u \geq 0 \quad \text{in } \Omega,\quad u\in W^{1,N}_0(\Omeg...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/15/abstr.html |