Results 151 to 160 of about 1,389 (169)

Constant-sign and nodal solutions of coercive -Laplacian problems

Nonlinear Analysis: Theory, Methods & Applications, 2013
A smooth boundary domain \(\Omega\) in \(R^N\) and the real numbers \(p,q, \mu\), verifying \(2 \leq q < p < \infty\), \( \mu \geq 0\), are considered. A qualitative analysis of the equation \[ -\mathrm{div}(|\nabla u|^{p-2}\nabla u)-\mu\cdot \mathrm{div}(|\nabla u|^{q-2}\nabla u)=f(x,y) \quad \text{in} \quad \Omega \] with homogeneous Dirichet ...
Salvatore A Marano, Nikolaos S Papageorgiou   +1 more
exaly   +4 more sources

Constant sign and nodal solutions for logistic-type equations with equidiffusive reaction

Monatshefte Fur Mathematik, 2010
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Nikolaos S Papageorgiou, Francesca Papalini, Papageorgiou Nikolaos S   +2 more
exaly   +2 more sources

Constant-sign and nodal solutions for singular quasilinear Lane–Emden type systems

Zeitschrift Fur Angewandte Mathematik Und Physik
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Abdelkrim Moussaoui, Moussaoui Abdelkrim   +1 more
exaly   +3 more sources

Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems

Journal of Nonlinear and Variational Analysis, 2023
Summary: This paper is dedicated to studying a \((p,q)\)-Laplacian-Kirchhoff type equation. We prove the existence of three bounded solutions (one positive, one negative, and one nodal with precisely two nodal domains) by applying the Nehari manifold along with a quantitative deformation lemma and truncation technique.
Yang, Jie, Chen, Haibo
openaire   +2 more sources

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
openaire   +1 more source

Constant sign and nodal solutions for singular Gierer–Meinhardt-type system

Applicable Analysis
Abdelkrim Moussaoui
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

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