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Level set maxima and
quasilinear elliptic problems
Kyril Tintarev |
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Vol. 153 (1992), No. 1, 185–200
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Abstract |
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The present paper studies existence of solutions to the problem ρA′(x) = B′(x) where A and B are Fréchet differentiate functionals on a Banach space. For every given value of A(x) = t we prove existence of a solution x and present an expression for the eigenvalue ρ = ρ(t). The result is applied to quasilinear elliptic equations. |
Mathematical Subject Classification 2000
Primary: 47H12
Secondary: 35J40, 35J65, 35P30, 47N20
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Milestones
Received: 26 July 1990
Revised: 13 May 1991
Published: 1 March 1992
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Authors |
| Kyril Tintarev | |
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