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.
- An Giang University Viet Nam
- National Technical University Ecuador
- University of Palermo Italy
- Ton Duc Thang University Viet Nam
- National Technological University Argentina
positive solutions, nonlinear maximum principle, truncation and perturbation techniques, Positive solutions to PDEs, superlinear reaction, multiplicity theorems, Existence problems for PDEs: global existence, local existence, non-existence, Nonlinear elliptic equations, Robin problems, comparison principles, positive solution, Settore MAT/05 - Analisi Matematica, critical point theory, Nonhomogeneous differential operator, Nonhomogeneous differential operator; superlinear reaction; nonlinear regularity; nonlinear maximum principle; positive solution; critical groups, nonlinear regularity, Morse theory, critical groups
positive solutions, nonlinear maximum principle, truncation and perturbation techniques, Positive solutions to PDEs, superlinear reaction, multiplicity theorems, Existence problems for PDEs: global existence, local existence, non-existence, Nonlinear elliptic equations, Robin problems, comparison principles, positive solution, Settore MAT/05 - Analisi Matematica, critical point theory, Nonhomogeneous differential operator, Nonhomogeneous differential operator; superlinear reaction; nonlinear regularity; nonlinear maximum principle; positive solution; critical groups, nonlinear regularity, Morse theory, critical groups
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