Titlebook: Analysis and Topology in Nonlinear Differential Equations; A Tribute to Bernhar Djairo G Figueiredo,João Marcos do Ó,Carlos Tomei Book 2014

Exposition

,Multiplicity of Positive Solutions for an Obstacle Problem in ℝ,In this paper we establish the existence of two positive solutions for the obstacle problem . where f is a continuous function verifying some technical conditions and . is the convex set given by . with . having nontrivial positive part with compact support in .

Clinch

Excitotoxin

口音在加重

, Solutions in Some Borderline Cases of Elliptic Equations with Degenerate Coercivity,Abstract. We study a degenerate elliptic equation, proving existence results of distributional solutions in some borderline cases.

Diluge

厌恶

,Some Weighted Inequalities of Trudinger–Moser Type,We discuss some extensions of the Trudinger–Moser inequality in a special case of weighted Sobolev spaces

CAMP

宏伟

,On a Resonant Lane–Emden Problem,We study the asymptotic behavior, as q → p, of the positive solutions of the Lane–Emden problem . where . is a bounded and smooth domain . is the first eigenvalue of the p-Laplacian operator . We prove that any family of positive solutions of this problem converges in . to the function .

Intervention

,A Note on the Existence of a Positive Solution for a Non-autonomous Schrödinger–Poisson System,We consider the system . where 3 < p < 5 and the potentials . has finite limits as . By imposing some conditions on the decay rate of the potentials we obtain the existence of a ground state solution. In the proof we apply variational methods.

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