[PDF] Top 20 On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... In the present paper, we discuss the Nehari manifold and examine carefully the connection between the Nehari manifold and the fibrering maps, then using arguments similar to those used in 7, we will prove the existence ... See full document
19
Existence of multiple solutions for fractional p-Kirchhoff equations with concave-convex nonlinearities
... single equation, that is, u = v) in the special case of M ≡ ...fractional elliptic equation with critical ex- ...with concave-convex ... See full document
12
Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces
... with nonlinearities of the form m(x)|u| r–2 u + f (x, u) with 1 < r < p < ∞ when f is (p – 1) superlinear near infinity but does not satisfy the ... See full document
13
Multiple solutions for the fractional differential equation with concave convex nonlinearities and sign changing weight functions
... of solutions on the fractional equations involving concave-convex nonlinearities and sign-changing weight ...and multiple results of so- lutions for the following fractional differential ... See full document
12
Multiple Solutions for a Class of Concave Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
... R . How- ever, as far as we know, there are few results of problem (1.1) in addition to concave-convex nonlinearities, i.e., 1 q p , including nonlinear boundary condition. We focus on the ... See full document
7
On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions
... linear elliptic equations or systems, semilinear second-order elliptic systems or fourth- order elliptic ...fourth-order elliptic equations have been studied by many authors, we refer the ... See full document
15
Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
... and multiple existence results (with re- spect to a real parameter) to an elliptic equation involving the Paneitz-Branson operator with concave-convex nonlinear ... See full document
20
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... We study the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex nonlinearities. By using a ... See full document
10
Laplace’s equation with concave and convex boundary nonlinearities on an exterior region
... a smooth boundary ∂Ω. Since then, there have been a large number of papers appearing on some related problems; nevertheless, the description of the existence of solutions to problem (1.1) is missing as a ... See full document
12
Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights
... positive solutions for Dirichlet problems involving concave and convex nonlinearities,” Nonlinear Analysis: Theory, Methods & Applications, ...positive solutions for semilinear ... See full document
18
Multiple homoclinic solutions for p-Laplacian Hamiltonian systems with concave–convex nonlinearities
... of solutions for Hamiltonian systems or other dif- ferential systems have been investigated in many papers via variational methods (see [1– 4, 9, 11, 14–18, ...the solutions of Hamiltonian systems is the ... See full document
15
Multiple positive solutions for a fractional elliptic system with critical nonlinearities
... In recent years, a great deal of attention has been focused on studying of problems in- volving fractional Sobolev spaces and corresponding nonlocal equations, both from a pure mathematical point of view and for concrete ... See full document
18
Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... In the present paper, our research is mainly related to (1.1) with 1 < q < p < N, the critical exponent and weight functions f, g that change sign on Ω. When p = 2, 1 < q <2, μ ∈ [0, μ) ¯ , f, g are sign ... See full document
15
Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions
... wave equation for free vibrations of elastic ...many solutions by using the local minimum methods and the fountain ...positive solutions of the Kirchhoff type problem has been studied ...with ... See full document
10
Infinitely many solutions for p-biharmonic equation with general potential and concave-convex nonlinearity in \(\mathbb{R}^{N}\)
... [, N– N ) and obeys the coercivity condition: V(x) → ∞ as |x| → ∞. Hence, under various sets of assumptions on the nonlinear term f (x, t) (subcriticality, superquadraticity, etc.), the authors proved the existence of ... See full document
9
Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave Convex Nonlinearities and Sign Changing Weight Functions
... positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities,” Nonlinear ...positive solutions for a critical elliptic system with ... See full document
22
Positive solutions for P Laplace problems with nonlinear time fractional differential equation
... positive solutions for P-Laplace semi-linear elliptic equations and the corresponding time-fractional ...positive solutions for nonlinear elliptic equations with a positive smooth weight ... See full document
22
Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
... have been studied by Ambrosetti et al. [1] (h ≡ 1, and 1 <q < 2 <p ≤ 2* = 2N/(N- 2)) and Wu [2]h ∈ C( ¯ ) and changes sign, 1 <q < 2 <p < 2*). They proved that this equa- tion has at least two ... See full document
17
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
... Wu, “On semilinear elliptic equations involving concave-convex nonlinearities and sign- changing weight function,” Journal of Mathematical Analysis and Applications , vol.. Lin, “On crit[r] ... See full document
17
Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in RN
... the elliptic systems with subcritical or critical exponents, and they proved the existence of a least energy positive solution or the existence of at least two positive solutions for these ...positive ... See full document
17
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