Existence of solutions for a resonant problem under Landesman-Lazer conditions
This article shows the existence of weak solutions in $W_0^1(Omega )$ to a class of Dirichlet problems of the form $$ - hbox{div}({a({x, abla u} )})= lambda_1 |u|^{p - 2} u + f(x,u)-h $$ in a bounded domain $Omega$ of $mathbb{R}^N$. Here $a$ satisfies $$ |{a({x,xi } )}| leq c_0 ig({h_0 (x)+ h_1 (x...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/98/abstr.html |