Singular limiting solutions to 4-dimensional elliptic problems involving exponentially dominated nonlinearity and nonlinear terms
Let $\Omega \in \mathbb{R}^4$ be a bounded open regular set, $x_1, x_2, \dots, x_m \in \Omega$, $\lambda, \rho >0$ and $Q_\lambda$ be a non linear operator (which will be defined later). We prove that the problem $$ \Delta^2u +Q_\lambda(u)= \rho^4 e^u $$ has a positive weak solution in $\O...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/289/abstr.html |