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In this paper, we are concerned with quasilinear elliptic equations with a Dirichlet boundary condition and two parameters. Using the truncation techniques and variational methods, the existence and/or multiplicity of… Click to show full abstract
In this paper, we are concerned with quasilinear elliptic equations with a Dirichlet boundary condition and two parameters. Using the truncation techniques and variational methods, the existence and/or multiplicity of positive solutions to the problems with a nonlinearity which satisfies either logistic growth rate or strong Allee effect growth rate are investigated. Also, a nonexistence result for nonnegative and nontrivial solutions is given.
Keywords:
existence multiplicity;
positive solutions;
elliptic equations;
two parameters;
quasilinear elliptic;
multiplicity positive
Journal Title: Afrika Matematika
Year Published: 2017
Link to full text (if available)
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Journal Title: Afrika Matematika
Year Published: 2017
Link to full text (if available)
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recommendations!