[PDF] Top 20 Three positive solutions of nonhomogeneous semilinear elliptic equations
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Three positive solutions of nonhomogeneous semilinear elliptic equations
... Wang, Existence of solutions of semilinear elliptic problems in unbounded domains, Differential Integral Equations 6 (1993) 1281–1298. [15] P[r] ... See full document
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Four positive solutions of semilinear elliptic equations in exterior domains
... Wang, Existence of solutions of semilinear elliptic problems in unbounded domains, Differential Integral Equations 6 (1993) 1281–1298.. [14] P.H.[r] ... See full document
18
Multiple positive solutions for nonhomogeneous elliptic equations in exterior domains
... the solutions of equation (E λ ) are the critical points of the energy functional J λ ...kinds of difficulties: (i) the Laplacian from H 2 (Ω) in L 2 (Ω) is not Fredholm; (ii) the injection H ... See full document
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Uniqueness of positive radial solutions for semilinear elliptic equations on annular domains
... In this paper we shall study the uniqueness problem of positive radial solutions for semilinear ellipticequations on annular domains.. However, very little was known concerning the annul[r] ... See full document
10
Multiplicity of positive and nodal solutions for semilinear elliptic equations in infinite strips
... Furthermore, we have the following result. Lemma 3.6 Let µ 0 > 0 as in Lemma 3.5. Then for each µ ∈ (0, µ 0 ) , we have that M i (µ, L) is closed set for all i = 1, 2. Proof. The proofs of cases “i = 1, 2” are the ... See full document
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Multiplicity and concentration of positive solutions for nonhomogeneous elliptic equations in multi-bump domains
... decomposition of the filtration of the Nehari manifold via the variation of domain ...the nonhomogeneous elliptic equations in an m-bump domain have at least m + 1 ... See full document
22
Multiplicity of positive solutions for semilinear elliptic equations in R^{N}
... Hirano, Existence of entire positive solutions for nonhomogeneous elliptic equations, Nonlinear Analysis:TMA 29 (1997) 889–901.. [15] L.[r] ... See full document
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Existence of positive solutions for indefinite semilinear elliptic equations with concave and convex nonlinaerities
... Department of Applied Mathematics National University of Kaohsiung, Kaohsiung 811, Taiwan ...decomposition of the Nehari manifold by exploiting the combination of concave and convex ... See full document
1
Four positive solutions for a semilinear elliptic equations involving concave and convex nonlinearities
... Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan Abstract In this paper, we study the combined effect of concave and convex nonlinearities on the number ... See full document
22
EXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS
... 19] , Existence of positive non-radial solutions for nonlinear elliptic equations in annular domains,. Trans[r] ... See full document
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EXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS
... 19] , Existence of positive non-radial solutions for nonlinear elliptic equations in annular domains,. Trans[r] ... See full document
16
POSITIVE RADIAL SOLUTIONS AND NONRADIAL BIFURCATION FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS
... the non-radial bifurcation problems on a narrow annulus.. We first prove the following lemma.. An immediate consequence of Lemma 2.1 is the following result. The fo[r] ... See full document
25
The effect of domain shape on the number of positive and nodal solutions for semilinear elliptic equations
... effect of domain shape on the number of positive and nodal (sign-changing) solutions for semilinear elliptic equa- ...a semilinear elliptic equation in a domain Ω ... See full document
18
Solutions of semilinear elliptic equations with asymptotic linear nonlinearity
... The solutions structure of (1) is quite di:erent when is equal to zero or ...results of solutions structure of (1) in ...arbitrary positive real ... See full document
9
Multiple positive solutions for semilinear elliptic systems with nonlinear boundary condition
... scalar elliptic equations with concave and convex nonlinearities are widely studied; we refer the reader to Ambrosetti-Brezis-Cerami [3], Ambrosetti- Azorezo-Peral [2], Bartsch-Willem [6], de ... See full document
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Three positive solutions for a semilinear elliptic equation in R^{N} involving sign-changing weight
... Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan Abstract In this paper, we study the decomposition of the Nehari manifold via the combina- tion of ... See full document
30
Multiplicity of 2-nodal solutions for a semilinear elliptic equation
... existence of at least one positive solution of equation (E p,q ) in exterior domain ...sign solutions. For other situations, Wang [21] proved the existence of a nodal (sign-changing) ... See full document
19
Symmetry breaking and existence of many positive nonsymmetric solutions for semi-linear elliptic equations on finite cylindrical domains
... Taking the length a as a bifurcation parameter, we consider the symmetry-breaking problem o f the following semilinear elliptic equation with mixed-type boundary c[r] ... See full document
10
SYMMETRY-BREAKINGS FOR SEMILINEAR ELLIPTIC-EQUATIONS OF FINITE CYLINDRICAL DOMAINS
... multiplicity of asymmetric positive solu- tions of a semilinear elliptic equation on finite cylinders with mixed type bound- ary ...numbers of asymmetric positive ... See full document
9
Multiplicity of positive solutions for a semilinear elliptic equation in R_{+}^{N} with nonlinear boundary condition
... i.e., positive critical points of h u correspond to points on the Nehari ...into three parts corresponding to local minima, local maxima and points of ... See full document
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