Multiple solutions for strongly resonant Robin problems
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DOI: 10.1002/mana.201600454
Abstract: We consider nonlinear (driven by the p†Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems… read more here.
Keywords: robin; resonant robin; solutions strongly; multiple solutions ... See more keywords
Parametric nonlinear resonant Robin problems
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DOI: 10.1002/mana.201800505
Abstract: We consider a nonlinear Robin problem driven by the $p$-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly $(p-1)$-sublinear and the other one is $(p-1)$-linear and resonant… read more here.
Keywords: robin; nonlinear resonant; resonant robin; parametric nonlinear ... See more keywords
Semilinear Robin Problems with Indefinite Potential and Competition Phenomena
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DOI: 10.1007/s10440-019-00284-y
Abstract: We consider semilinear parametric Robin problems driven by the Laplacian plus an indefinite and unbounded potential. In the reaction we have two competing nonlinearities. However, the competition is different from the usual one in “concave-convex”… read more here.
Keywords: robin; competition; semilinear robin; problems indefinite ... See more keywords
Semilinear Robin problems resonant at both zero and infinity
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DOI: 10.1515/forum-2016-0264
Abstract: Abstract We consider a semilinear elliptic problem, driven by the Laplacian with Robin boundary condition. We consider a reaction term which is resonant at ± ∞ {\pm\infty} and at 0. Using variational methods and critical… read more here.
Keywords: robin; semilinear robin; problems resonant; zero infinity ... See more keywords