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Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique

Tavares Leandro S., Sousa J. Vanterler C.

Opuscula Mathematica

2023

Vol. 43, no. 4

603--613

In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma physics. Under a general hypothesis it is proved an existence result and multiple solutions are obtained by considering an additional natural condition.

Existence results for Kirchhoff type systems with singular nonlinearity

Firouzjai A., Afrouzi G. A., Talebi S.

Opuscula Mathematica

2018

Vol. 38, no. 2

187--199

Using the method of sub-super solutions, we study the existence of positive solutions for a class of singular nonlinear semipositone systems involving nonlocal operator.