Manassés de Souza

Existence of solutions to equations of N-Laplacian type with Trudinger–Moser nonlinearities

In this paper, using a fixed point result, we establish sufficient conditions for the existence of solutions to the nonuniformly elliptic equation of the formHere, is a positive parameter, the potential can change sign, may be unbounded in , the nonlinearity is possibly discontinuous and may exhibit exponential critical growth, and belongs to the dual of an appropriated function space.In this paper, using a fixed point result, we establish sufficient conditions for the existence of solutions to the nonuniformly elliptic equation of the formHere, is a positive parameter, the potential can change sign, may be unbounded in , the nonlinearity is possibly discontinuous and may exhibit exponential critical growth, and belongs to the dual of an appropriated function space.

On a class of nonhomogeneous elliptic problems involving exponential critical growth

In this paper we establish the existence of solutions for elliptic equations of the form

Trudinger–Moser inequality on the whole plane and extremal functions

-\text{div}(|\nabla u|^{n-2}\nabla u) + V(x)|u|^{n-2}u=g(x,u)+\lambda h

Quasilinear nonhomogeneous Schrödinger equation with critical exponential growth in R^n

in

On a class of nonhomogeneous elliptic equations on noncompact Riemannian manifolds

\mathbb{R}^n

On a class of fractional Schrödinger equations in with sign-changing potential

with

On a nonhomogeneous and singular quasilinear equation involving critical growth in R2

n\geq2

A class of asymptotically periodic fractional Schrödinger equations with critical growth

. Here the potential

On a class quasilinear Schrödinger equations in ℝn

V(x)

On a class of singular Trudinger–Moser type inequalities for unbounded domains in R N

can change sign and the nonlinearity