In this paper we apply minimax methods to obtain existence and multiplicity of weak
solutions for singular and nonhomogeneous elliptic equation of the form where u∈ W01, N …

In this paper, we prove a suitable Trudinger–Moser inequality with a singular weight in R^ N
and as an application of this result, using the mountain-pass theorem we establish sufficient …

In this paper, we prove a suitable Trudinger–Moser inequality with a singular weight in
$${\mathbb {R}^ N} $$ and as an application of this result, using the mountain-pass theorem …

The aim of this paper is to study the existence of variational solutions to a nonhomogeneous
elliptic equation involving the $ N $-Laplacian $$-\Delta_N u\equiv-\operatorname …

In this paper, we are interested in studying the existence or non-existence of solutions for a
class of elliptic problems involving the N-Laplacian operator in the whole space. The …

In this paper we study a class of nonhomogeneous Schrödinger equations in the whole two-
dimension space where V (x) is a continuous positive potential bounded away from zero and …

In line with the Concentration–Compactness Principle due to P.-L. Lions [19], we study the
lack of compactness of Sobolev embedding of W 1, n (R n), n⩾ 2, into the Orlicz space L Φ α …

Let Ω⊂ R n, n≥ 2, be a bounded domain containing the origin. Applying the Mountain Pass
Theorem and a singular version of the generalized Moser-Trudinger inequality we prove the …

Abstract Applying the generalized Moser–Trudinger inequality, the Mountain Pass Theorem
and the Ekeland Variational Principle we study the existence of non-trivial weak solutions to …

In this paper we study the existence of nontrivial solutions for the following system of two
coupled semilinear Poisson equations: (S)\qquad-Δu=g(v),v\textgreater0\qquadinΩ …