Banca de QUALIFICAÇÃO: CRISTIANO VICTOR MEDEIROS DA SILVA

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : CRISTIANO VICTOR MEDEIROS DA SILVA
DATE: 02/12/2024
TIME: 14:30
LOCAL: Setor de Aulas 3, Sala H9
TITLE:

Existence of solutions for a class of Kirchhoff-Schrodinger equations with critical Sobolev growth

KEY WORDS:

Kirchhoff-Schrödinger equations; Critical Sobolev growth; Potential vanishing at infinity.

PAGES: 106
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this paper, we establish the existence of positive solutions for a class of stationary Kirchhoff-Schrodinger equations defined in the whole R^3 with nonlinearity with critical growth in the Sobolev sense and nonnegative potential that can decay to zero at infinity. For this purpose, we use the variational method of critical point theory, which consists of associating the solutions of the equation to the critical points of a suitable functional. Furthermore, the nonlinearity is general and does not satisfy the well-known Ambrosetti-Rabinowitz condition, which makes the study of the compactness associated with the problem and the boundedness of Palais-Smale sequences more sophisticated. In this context, the main tools used to achieve our main results were the use of the mountain pass theorem and the Lions' compactness principle, in addition to the common basis which consists of basic results of measure theory and Lebesgue integration, functional analysis and nonlinear functional analysis.

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Presidente - 3061368 - DIEGO FERRAZ DE SOUZA
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