Results 191 to 200 of about 1,540 (202)

Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter

Calculus of Variations and Partial Differential Equations, 2021
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Tieshan He, Pengfei Guo, Li Liu
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Constant sign and nodal solutions for superlinear double phase problems

Advances in Calculus of Variations, 2019
Abstract We consider a double phase problems with unbalanced growth and a superlinear reaction, which need not satisfy the Ambrosetti–Rabinowitz condition. Using variational tools and the Nehari method, we show that the Dirichlet problem has at least three nontrivial solutions, a positive solution, a negative solution and a nodal ...
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
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Multiple Constant Sign and Nodal Solutions for Nonlinear Neumann Eigenvalue Problems

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2011
We consider a nonlinear Neumann eigenvalue problem driven by a possibly nonhomogeneous differential operator which incorporates as a special case the p-Laplacian. We assume that the right-hand side nonlinearity is (p − 1)-superlinear, but need not satisfy the Ambrosetti-Rabinowitz condition or to be monotone.
Motreanu, Dumitru, V.Motreanu, Viorica, S.Papageorgiou, Nikolaos   +2 more
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Nodal and Multiple Constant Sign Solution for Equations with the p-Laplacian

2008
We consider nonlinear elliptic equations driven by the p-Laplacian with a nonsmooth potential (hemivariational inequalities). We obtain the existence of multiple nontrivial solutions and we determine their sign (one positive, one negative and the third nodal).
Ravi P. Agarwal, Michael E. Filippakis, Donal O’Regan, Nikolaos S. Papageorgiou   +3 more
openaire   +1 more source

Constant-Sign and Nodal Solutions to a Dirichlet Problem with p-Laplacian and Nonlinearity Depending on a Parameter

Proceedings of the Edinburgh Mathematical Society, 2013
AbstractA homogeneous Dirichlet problem with p-Laplacian and reaction term depending on a parameter λ > 0 is investigated. At least five solutions—two negative, two positive and one sign-changing (namely, nodal)—are obtained for all λ sufficiently small by chiefly assuming that the involved non-linearity exhibits a concave-convex growth rate. Proofs
MARANO, Salvatore Angelo, Papageorgiou N. S.   +1 more
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Constant-sign and nodal solutions for singular quasilinear Lane–Emden type systems

Zeitschrift für angewandte Mathematik und Physik
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Constant sign and nodal solutions for superlinear double phase problems

Advances in Calculus of Variations, 2021
Leszek Gasiński, Nikolaos S Papageorgiou   +1 more
exaly  

Constant sign solutions for double phase problems with variable exponents

Applied Mathematics Letters, 2023
Francesca Vetro, Patrick Winkert
exaly  

Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight

Complex Variables and Elliptic Equations, 2014
Xiaoling Han, Guowei Dai
exaly  

Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight

Applied Mathematics and Computation, 2013
Xiaoling Han
exaly