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20162022
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math.AP2019

-bounds for general singular elliptic equations with convection term

Greta Marino, Patrick Winkert

In this note we present -results for problems of the form in , in , on , where the growth condition for the function $B…

math.AP2019

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…

math.AP2019

Positive solutions for weighted singular -Laplace equations via Nehari manifolds

Nikolaos S. Papageorgiou, Patrick Winkert

In this paper we study weighted singular -Laplace equations involving a bounded weight function which can be discontinuous. Due to its discontinuity classical regularity results…

math.AP2019

Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition

Greta Marino, Patrick Winkert

In this paper we study quasilinear elliptic systems with nonlinear boundary condition with fully coupled perturbations even on the boundary. Under very general assumptions our main…

math.AP2019

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…