A priori estimates and existence of positive solutions for strongly nonlinear problems

By D. Ruiz. 2004

169 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/5b06537605315cffb8f57927c8f029b2295cc555

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In Applied Mathematics

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Comparison and Positive Solutions for Problems with the (p, q)-Laplacian and a Convection Term (2014, background): “The existence of positive solutions for problems with the p-Laplacian (but not the (p, q)Laplacian) and a convection term, that is, the case where μ = 0 in (P), has been studied in [15,17].”
A priori estimates and existence for quasi-linear elliptic equations (2008, background): “In [ 7 ], the author also considered Eq. 1.1 for a priori estimates and existence of positive solutions.”
Positive solutions for nonlinear Neumann problems with singular terms and convection (2020, methodology): “[26] D. Ruiz, A priori estimates and existence of positive solutions for strongly nonlinear problems, J. Differential Equations 199 (2004), 96-114.”
Positive solutions of quasi-linear elliptic equations with dependence on the gradient (2015, methodology): “In [15], by combining Krasnoselskii’s fixed point theorem in cones with blow up techniques, the existence of a positive solution of (P ) is proved when f(x, s, ξ) is a non negative function and has a suitable growth with respect to s and ξ.”
Existence and uniqueness results for double phase problems with convection term (2019, methodology): “For other existence results on quasilinear equations with convection term and the p-Laplace or the (p, q)-Laplace differential operator we refer to the papers of Bai-Gasiński-Papageorgiou [6], De Figueiredo-Girardi-Matzeu [12], Dupaigne-Ghergu-Rădulescu [13], Faraci-MotreanuPuglisi [14], Faria-Miyag”