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Edcarlos D. Silva

As seen in: Wiley Online Library, Taylor & Francis Online
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Articles

Nonlinear Rayleigh quotient approach to a fractional p -Laplacian problem with concave–convex sign-changing nonlinearities

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By Jefferson Oliveira, C. Goulart, Edcarlos D. Silva
| Taylor & Francis Online
Advanced search Complex Variables and Elliptic Equations An International Journal Latest Articles Submit an article Journal homepage Full Article Figures & data References Supplemental Citations Metrics Reprints & Permissions Read this article /doi/full/10.1080/17476933.2026.2709448?needAccess=true Abstract It is established existence and multiplicity of solutions for a fractional p-Laplacian problem in the whole space RN.
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Quasilinear nonlocal elliptic problems with a prescribed norm in the Lp-subcritical and Lp-critical growth

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By Edcarlos D. Silva, C. Goulart
| Taylor & Francis Online
Abstract There is a solution with a prescribed Lp norm for the nonlocal elliptic problem: {(−Δ)psu+V(x)|u|p−2u=λ|u|p−2u+β|u|q−2uinRN,‖u‖pp=mp,u∈Ws,p(RN), where s∈(0,1),sp<N,β>0andq∈(p,p¯s] where p¯s=p+sp2/N. The main feature here is to consider Lp-subcritical and Lp-critical cases. Furthermore, we work with a huge class of potentials V taking into account periodic potentials, asymptotically periodic potentials and coercive potentials.
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Superlinear fractional elliptic problems via the nonlinear Rayleigh quotient with two parameters

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By M. Silva, Edcarlos D. Silva, IME Goiânia-GO Brazil, C. Goulart
| Wiley Online Library Verified
It is established existence of weak solutions for nonlocal elliptic problems driven by the fractional Laplacian where the nonlinearity is indefinite in sign.
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