Add to ORKGWe consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points. We prove the existence of at least three nontrivial solutions. Our approach uses the nonsmooth critical point theory for locally Lipschitz functionals due to Chang (1981) and a generalized version of the Ekeland variational principle. At the end of the paper we show that the nonsmooth Palais-Smale (PS)-condition implies the coercivity of the functional, extending this way a well-known result of the “smooth ” case. 1
In this article, we show the existence of multiple nontrivial solutions to a Dirichlet problem for ...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...
We consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an...
Double linking, Critical point, Locally Lipschitz, Nonsmooth, 34C25, 58E30, 47H04,
ABSTRACT. We study a nonlinear elliptic problem driven by the p-Laplacian and with a non-smooth pote...
We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmo...
summary:In this paper we consider a periodic problem driven by the one dimensional $p$-Laplacian and...
Abstract. In this paper using the critical point theory of Chang [4] for locally Lipschitz functiona...
Two nontrivial solutions for semilinear elliptic resonant problems are obtained via the Lyapunov-Sch...
We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian (2 < p)...
We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian (2 < p)...
In the present paper, some multiplicity results for semilinear resonant elliptic problems with disco...
Abstract. We consider a semilinear elliptic equation with a nonsmooth, locally Lipschitz potential f...
Using the critical point theory of Chang (1981) for locally Lipschitz functionals, we prove an exist...
In this article, we show the existence of multiple nontrivial solutions to a Dirichlet problem for ...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...
We consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an...
Double linking, Critical point, Locally Lipschitz, Nonsmooth, 34C25, 58E30, 47H04,
ABSTRACT. We study a nonlinear elliptic problem driven by the p-Laplacian and with a non-smooth pote...
We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmo...
summary:In this paper we consider a periodic problem driven by the one dimensional $p$-Laplacian and...
Abstract. In this paper using the critical point theory of Chang [4] for locally Lipschitz functiona...
Two nontrivial solutions for semilinear elliptic resonant problems are obtained via the Lyapunov-Sch...
We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian (2 < p)...
We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian (2 < p)...
In the present paper, some multiplicity results for semilinear resonant elliptic problems with disco...
Abstract. We consider a semilinear elliptic equation with a nonsmooth, locally Lipschitz potential f...
Using the critical point theory of Chang (1981) for locally Lipschitz functionals, we prove an exist...
In this article, we show the existence of multiple nontrivial solutions to a Dirichlet problem for ...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...
In this paper we study nonlinear eigenvalue problems with Neumann boundary conditions and discontinu...