Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory
Keywordsvariational quasilinear elliptic equation, positive weak solutions, nonsmooth critical point theory
AbstractWe 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 $u$.
How to Cite
CONTI, Monica & GAZZOLA, Filippo. Positive entire solutions of quasilinear elliptic problems via nonsmooth critical point theory. Topological Methods in Nonlinear Analysis [online]. 1 December 1996, T. 8, nr 2, s. 275–294. [accessed 1.12.2021].
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