Existence of solutions to a superlinear p-Laplacian equation
Using Morse theory, we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions. We assume that $int_0^s f(x,t),dt$ lies between the first two eigenvalues of the p-Laplacian.
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| Format: | Article |
| Language: | English |
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Texas State University
2001-10-01
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| Series: | Electronic Journal of Differential Equations |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/66/abstr.html |