Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory
Keywords
variational quasilinear elliptic equation, positive weak solutions, nonsmooth critical point theoryAbstract
We prove that a variational quasilinear elliptic equation admits a positive weak solution on $\mathbb R^n$. Our results extend to a wider class of equations some known results about semilinear and quasilinear problems: all the coefficients involved (also the ones in the principal part) depend both on the variable $x$ and on the unknown function $u$; moreover, they are not homogeneous with respect to $u$.Downloads
Published
1996-12-01
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1.
CONTI, Monica and GAZZOLA, Filippo. Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory. Topological Methods in Nonlinear Analysis. Online. 1 December 1996. Vol. 8, no. 2, pp. 275 - 294. [Accessed 27 April 2024].
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