Solutions and positive solutions for superlinear Robin problems
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We consider nonlinear, nonhomogeneous Robin problems with a (p − 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
- University of Palermo Italy
- An Giang University Viet Nam
- National Technical University Ecuador
- National Technological University Argentina
- Ton Duc Thang University Viet Nam
positive solution, Settore MAT/05 - Analisi Matematica, nonlinear maximum principle, Nonhomogeneous differential operator, Nonhomogeneous differential operator; superlinear reaction; nonlinear regularity; nonlinear maximum principle; positive solution; critical groups, superlinear reaction, nonlinear regularity, critical groups
positive solution, Settore MAT/05 - Analisi Matematica, nonlinear maximum principle, Nonhomogeneous differential operator, Nonhomogeneous differential operator; superlinear reaction; nonlinear regularity; nonlinear maximum principle; positive solution; critical groups, superlinear reaction, nonlinear regularity, critical groups
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