0000000000370434

AUTHOR

E Tornatore

showing 2 related works from this author

Gradient nonlinear elliptic systems driven by a (p,q)-laplacian operator

2017

In this paper, using variational methods and critical point theorems, we prove the existence of multiple weak solutions for a gradient nonlinear Dirichlet elliptic system driven by a (p, q)-Laplacian operator.

p-Laplacian critical pointNonlinear elliptic systemDirichlet conditions mul- tiple solutionvariational method
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On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term

2021

The method of sub and super-solution is applied to obtain existence and location of solutions to a quasilinear elliptic problem with variable exponent and Dirichlet boundary conditions involving a nonlinear term f depending on solution and on its gradient. Under a suitable growth condition on the convection term f, the existence of at least one solution satisfying a priori estimate is obtained.

sub-supersolutionpositive solutionSettore MAT/05 - Analisi Matematicagradient dependence(p(x) q(x))-LaplacianDirichlet problem
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