Results 21 to 30 of about 15,510,191 (369)
Positive solutions for the Robin p-Laplacian problem with competing nonlinearities
Advances in Calculus of Variations, 2019 We consider a parametric nonlinear elliptic equation driven by the Robin p-Laplacian. The reaction term is a Carathéodory function which exhibits competing nonlinearities (concave and convex terms).
L. Gasiński, N. Papageorgiou
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Positive solutions for nonlinear nonhomogeneous parametric Robin problems [PDF]
, 2018 We study a parametric Robin problem driven by a nonlinear nonhomogeneous differential operator and with a superlinear Carath\'eodory reaction term. We prove a bifurcation-type theorem for small values of the parameter. Also, we show that as the parameter
Nikolaos S. Papageorgiou +2 more
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Calculus of Variations and Partial Differential Equations, 2019 In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined effects of nonlinear singular and convection terms. An existence theorem for positive solutions is established as well as the compactness of solution set.
Zhenhai Liu, D. Motreanu, Shengda Zeng
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Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential [PDF]
, 2017 We study perturbations of the eigenvalue problem for the negative Laplacian plus an indefinite and unbounded potential and Robin boundary condition. First we consider the case of a sublinear perturbation and then of a superlinear perturbation.
Nikolaos S. Papageorgiou +2 more
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On the positivity of solutions of systems of stochastic PDEs [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2012 AbstractWe study the positivity of solutions of a class of semi‐linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit necessary and sufficient conditions such that the solutions preserve positivity.
Messoud Efendiev +3 more
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Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we look for solutions to the following critical Schrödinger system $$\begin{cases} -\Delta u+(V_1+\lambda_1)u=|u|^{2^*-2}u+|u|^{p_1-2}u+\beta r_1|u|^{r_1-2}u|v|^{r_2}&{\rm in}\ \mathbb{R}^N,\\ -\Delta v+(V_2+\lambda_2)v=|v|^{2^*-2}v+|v ...
Lei Long, Xiaojing Feng
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On the existence of positive solutions for generalized fractional boundary value problems
Boundary Value Problems, 2019 The existence of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional operators. Our approach is based on utilizing the technique of fixed point theorems.
Arjumand Seemab +3 more
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Existence of a positive solution for a singular system [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2010 We show the existence and non-existence of positive solutions to a system of singular elliptic equations with the Dirichlet boundary condition.
Da Silva Montenegro, Marcelo +1 more
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On strong solutions for positive definite jump-diffusions [PDF]
, 2010 We show the existence of unique global strong solutions of a class of stochastic differential equations on the cone of symmetric positive definite matrices.
Mayerhofer, Eberhard +2 more
core +3 more sources