We consider elliptic equations in bounded domains Ω ⊃ ℝN with non-linearities which have critical growth at +∞ and linear growth λ at -∞, with λ > λ1, the first eigenvalue of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms provided N ≥ 6. In dimensions N = 3, 4,5 an additional lower order growth term has to be added to the nonlinearity, similarly as in the famous result of Brezis-Nirenberg for equations with critical growth
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
We study the existence of sign changing solutions to the slightly subcritical problem −\Delta u = |...
We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities whi...
We consider elliptic equations in bounded domains Ω⊂ℝ2 with nonlinearities which have exponential gr...
We consider elliptic equations in bounded domains Ω ⊂ R 2 with nonlinearities which have exponential...
We study the existence of positive solutions of a linear elliptic equation with critical Sobolev exp...
By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove...
By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
In the theory of nonlinear systems of partial differential equations, with a nonlinear term dependin...
We study a class of elliptic equations for the n-laplacian in R^n with a one-sided exponential growt
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
We study the existence of sign changing solutions to the slightly subcritical problem −\Delta u = |...
AbstractIn this paper we apply minimax methods to obtain existence and multiplicity of weak solution...
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
We study the existence of sign changing solutions to the slightly subcritical problem −\Delta u = |...
We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities whi...
We consider elliptic equations in bounded domains Ω⊂ℝ2 with nonlinearities which have exponential gr...
We consider elliptic equations in bounded domains Ω ⊂ R 2 with nonlinearities which have exponential...
We study the existence of positive solutions of a linear elliptic equation with critical Sobolev exp...
By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove...
By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
In the theory of nonlinear systems of partial differential equations, with a nonlinear term dependin...
We study a class of elliptic equations for the n-laplacian in R^n with a one-sided exponential growt
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
We study the existence of sign changing solutions to the slightly subcritical problem −\Delta u = |...
AbstractIn this paper we apply minimax methods to obtain existence and multiplicity of weak solution...
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model exampl...
We study the existence of sign changing solutions to the slightly subcritical problem −\Delta u = |...