C
Claudianor O. Alves
Researcher at Federal University of Campina Grande
Publications - 268
Citations - 5905
Claudianor O. Alves is an academic researcher from Federal University of Campina Grande. The author has contributed to research in topics: Bounded function & Nonlinear system. The author has an hindex of 38, co-authored 243 publications receiving 4906 citations. Previous affiliations of Claudianor O. Alves include Federal University of Paraíba.
Papers
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Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
Claudianor O. Alves,Chao Ji +1 more
TL;DR: In this article, the existence and concentration of positive solutions for the logarithmic Schrodinger equation was proved under a local assumption on the potential V, and the variational methods were used to prove the existence of positive solution.
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Multi-bump solutions for a Kirchhoff-type problem
TL;DR: In this article, the existence of positive multi-bump solutions for the Kirchhoff problem was established by using variational methods, assuming that the nonnegative function a(x) has a potential well with k disjoint components Ω 1,Ω 2, Ω 3, Ω 4 and Ω 5 and the nonlinearity f(t) has subcritical growth.
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On a class of singular biharmonic problems involving critical exponents
TL;DR: In this article, the existence of singular biharmonic problems was proved by combining the Mountain Pass Theorem and Hardy inequality with some arguments used by Brezis and Nirenberg.
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Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents
TL;DR: In this article, the existence of a nontrivial solution of the following class of semilinear biharmonic problem involving critical exponents 6u+ a(x)u= h(x)|u|q−1u+ k(x),u|p−1 u in R ; u∈H (R ); N ≥ 5; (P) where 1iqip ≤ 2∗∗−1 = (N + 4)=(N − 4) and a; h; k :RN→R are bounded, nonnegative and continuous functions.
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On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator
TL;DR: In this paper, the authors used variational methods to prove results on existence and concentration of solutions to a problem involving the 1-Laplacian operator, where the lack of compactness is overcome by using the Concentration of Compactness Principle due to Lions.