Existence and nonexistence of solutions for singular quadratic quasilinear equations

By David Arcoya, José Carmona, Tommaso Leonori, Pedro J. Martínez-Aparicio, Luigi Orsina, Francesco Petitta. 2009

117 citations recorded by the source corpus.

We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient, whose model is 8

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6b1b41bd30a3ed324124251d333720479228c1f0

Citations in the corpus

• On singular elliptic equations with measure sources (2015, unknown): “|∇v|2 v = ˜g(x)vη +f˜(x) in Ω, v = 0 on ∂Ω, (1.2) with ˜g = µ 1−η and f˜= f 1−η. If ˜g ≡ 0 and f is an L 1 function then problem (1.2) has been recently considered in the literature (see for instance [4, 1, 22] and references therein). Finally, the case of ˜g being a constant and f˜∈ L 2N N+2(Ω) has”