1 citations · 1 across the 6 of their papers we have counts for
6 papers
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
Leszek Gasinski, Patrick Winkert
In this paper we study quasilinear elliptic equations driven by the so-called double phase operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove…
Constant sign solutions for double phase problems with superlinear nonlinearity
Leszek Gasinski, Patrick Winkert
We study parametric double phase problems involving superlinear nonlinearities with a growth that need not necessarily be polynomial. Based on truncation and comparison methods the…
Existence and uniqueness results for double phase problems with convection term
Leszek Gasinski, Patrick Winkert
In this paper we consider quasilinear elliptic equations with double phase phenomena and a reaction term depending on the gradient. Under quite general assumptions on the convectio…
Convergence of a Time Discretization for Nonlinear Second Order Inclusion
Krzysztof Bartosz, Leszek Gasiński, Zhenhai Liu +1
We study an abstract second order inclusion involving two nonlinear single-valued operators and a nonlinear multivalued term. Our goal is to establish the existence of solutions to…
Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues
Leszek Gasi'nski, Dumitru Motreanu, Nikolaos S Papageorgiou
We consider a semilinear elliptic equation with a nonsmooth, locally \hbox{Lipschitz} potential function (hemivariational inequality). Our hypotheses permit double resonance at inf…
Nonlinear second-order multivalued boundary value problems
Leszek Gasinski, Nikolaos S. Papageorgiou
In this paper we study nonlinear second-order differential inclusions involving the ordinary vector -Laplacian, a multivalued maximal monotone operator and nonlinear multivalued…