Critical quasilinear elliptic problems using concave-convex nonlinearities

DOI10.1007/s10231-018-0794-0zbMath1419.35049OpenAlexW2894865922WikidataQ129134325 ScholiaQ129134325MaRDI QIDQ2420250

Marcos L. M. Carvalho, José Valdo A. Goncalves, Edcarlos D. Da Silva, Claudiney Goulart

Publication date: 5 June 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-018-0794-0

zbMATH Keywords

variational methodsquasilinear elliptic problemsconcave-convex nonlinearities\(\Phi\)-Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Quasilinear elliptic equations (35J62)

Related Items (11)

Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials ⋮ High perturbations of quasilinear problems with double criticality ⋮ Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces ⋮ Positive solutions for a class semipositone quasilinear problem with Orlicz–Sobolev critical growth ⋮ Fractional p-Laplacian elliptic problems with sign changing nonlinearities via the nonlinear Rayleigh quotient ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ On the L^∞‐regularity for fractional Orlicz problems via Moser's iteration ⋮ A Lions type result for a large class of Orlicz-Sobolev space and applications ⋮ Unnamed Item ⋮ The existence of nontrivial solutions to a class of quasilinear equations ⋮ Multiple solutions for a class of quasilinear problems with double criticality

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